Gradshteyn and Ryzhik

One of the valuable characteristics of Gradshteyn and Ryzhik compared to similar compilations is that most listed integrals are referenced. The literature list contains 92 main entries and 140 additional entries (in the eighth English edition). The integrals are classified by numbers, which haven't changed from the fourth Russian up to the seventh English edition (the numbering in older editions as well as in the eighth English edition is not fully compatible).

The book does not only contain the integrals, but also lists additional properties and related special functions.

It also includes tables for integral transforms.

Another advantage of Gradshteyn and Ryzhik compared to computer algebra systems is the fact that all special functions and constants used in the evaluation of the integrals are listed in a registry as well, thereby allowing reverse lookup of integrals based on special functions or constants.

On the downsides, Gradshteyn and Ryzhik has become known to contain a relatively high number of typographical errors even in newer editions, which has repeatedly led to the publication of extensive errata lists. Earlier English editions were also criticized for their poor translation of mathematical terms and mediocre print quality.

The work was originally compiled by the Russian mathematicians Iosif Moiseevich Ryzhik (Russian: {{lang|ru|Иосиф Моисеевич Рыжик}}, German: {{lang|de|Jossif Moissejewitsch Ryschik}}) and Izrail Solomonovich Gradshteyn (Russian: {{lang|ru|Израиль Соломонович Градштейн}}, German: {{lang|de|Israil Solomonowitsch Gradstein}}). While some contents were original, significant portions were collected from other previously existing integral tables like David Bierens de Haan's {{lang|fr|Nouvelles tables d'intégrales définies}} (1867), Václav Jan Láska's {{lang|de|Sammlung von Formeln der reinen und angewandten Mathematik}} (1888–1894) or Edwin Plimpton Adams' and Richard Lionel Hippisley's Smithsonian Mathematical Formulae and Tables of Elliptic Functions (1922).

The first edition, which contained about 5 000 formulas, was authored by Ryzhik, who had already published a book on special functions in 1936 and died during World War II around 1941. Not announcing this fact, his compilation was published posthumously in 1943, followed by a second corrected edition in his name in 1948.

The third edition (1951) was worked on by Gradshteyn, who also introduced the chapter numbering system in decimal notation. Gradshteyn planned considerable expansion for the fourth edition, a work he could not finish due to his own death. Therefore, the fourth (1962/1963) and fifth (1971) editions were continued by Yuri Veniaminovich Geronimus (Russian: {{lang|ru|Юрий Вениаминович Геронимус}}, German: {{lang|de|Juri Weniaminowitsch Geronimus}}) and Michail Yulyevich Tseytlin (Russian: {{lang|ru|Михаил Ю́льевич Цейтлин}}, German: {{lang|de|Michael Juljewitsch Zeitlin}}). The fourth edition contained about 12 000 formulas already.

Based on the third Russian edition, the first German-English edition with 5 400 formulas was published in 1957 by the East-German {{lang|de|Deutscher Verlag der Wissenschaften}} (DVW) with German translations by Christa and Lothar Berg and the English texts by Martin Strauss. In {{lang|de|Zentralblatt für Mathematik}} Karl Prachar wrote:

{{blockquote|"{{lang|de|Die sehr reichhaltigen Tafeln wurden nur aus dem Russischen ins Deutsche und Englische übersetzt.}}"
(Translation: The very comprehensive tables were only translated into German and English language.)}}

In 1963, it was followed by the second edition, a reprint edition with a four-page inlet listing corrections compiled by Eldon Robert Hansen.

Derived from the 1963 edition, but considerably expanded and split into two volumes, the third German-English edition by Ludwig Boll was finally published by MIR Moscow in 1981 (with permission of DVW and distributed through Verlag Harri Deutsch in the Western world); it incorporated the material of the fifth Russian edition (1971) as well.

Pending this third German-English edition an English-only edition by Alan Jeffrey was published in 1965. Lacking a clear designation by itself it was variously known as first, third or fourth English edition, as it was based on the then-current fourth Russian edition. The formulas were photographically reproduced and the text translated. This still held true for the expanded fourth English edition in 1980, which added chapters 10 to 17.

Both of these editions saw multiple print runs each incorporating newly found corrections. Starting with the third printing, updated table entries were marked by adding a small superscript number to the entry number indicating the corresponding print run ("3" etc.), a convention carried over into later editions by continuing to increase the superscript number as kind of a revision number (no longer directly corresponding with actual print runs).

The fifth edition (1994), which contained close to 20 000 formulas, was electronically reset in preparation for a CD-ROM issue of the fifth edition (1996) and in anticipation of further editions. Since the sixth edition (2000), now corresponding with superscript number "10", Daniel Zwillinger started contributing as well. The last edition being edited by Jeffrey before his death was the seventh English edition published in 2007 (with superscript number "11"). This edition has been retranslated back into Russian as "seventh Russian edition" in 2011.

For the eighth edition (2014/2015, with superscript number "12") Zwillinger took over the role of the editor. He was assisted by Victor Hugo Moll. In order to make room for additional information without increasing the size of the book significantly, the former chapters 11 (on algebraic inequalities), chapters 13 to 16 (on matrices and related results, determinants, norms, ordinary differential equations) and chapter 18 (on z-transforms) worth about 50 pages in total were removed and some chapters renumbered (12 to 11, 17 to 12). This edition contains more than 10 000 entries.

In 1995, Alan Jeffrey published his Handbook of Mathematical Formulas and Integrals.

It was partially based on the fifth English edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and meant as an companion, but written to be more accessible for students and practitioners. It went through four editions up to 2008. The fourth edition also took advantage of changes incorporated into the seventh English edition of Gradshteyn and Ryzhik.

Inspired by a 1988 paper in which {{ill|Ilan Vardi|de}} proved several integrals in Gradshteyn and Ryzhik, Victor Hugo Moll with George Boros started a project to prove all integrals listed in Gradshteyn and Ryzhik and add additional commentary and references. In the foreword of the book Irresistible Integrals (2004), they wrote:

{{blockquote|It took a short time to realize that this task was monumental.}}

Nevertheless, the efforts have meanwhile resulted in about 900 entries from Gradshteyn and Ryzhik discussed in a series of more than 30 articles of which papers 1 to 28{{efn|}} have been published in issues 14 to 26 of Scientia, Universidad Técnica Federico Santa María (UTFSM), between 2007 and 2015 and compiled into a two-volume book series Special Integrals of Gradshteyn and Ryzhik: the Proofs (2014–2015) already.

• {{anchor|GR-R1}}{{cite book |script-title=ru:Таблицы интегралов, сумм, рядов и произведений |language=ru |trans-title=Tables of integrals, sums, series and products |author-first=И. М. |author-last=Рыжик |author-link=Иосиф Моисеевич Рыжик |date=1943 |publisher=Gosudarstvennoe Izdatel'stvo Tehniko-Teoretičeskoj Literatury (Государственное издательство технико-теоретической литературы) (GITTL / ГИТТЛ) (Tehteoretizdat / Техтеоретиздат) |location=Moscow |edition=1 |lccn=ltf89006085}} 400 pages.
• {{anchor|GR-R2}}{{cite book |script-title=ru:Таблицы интегралов, сумм, рядов и произведений |language=ru |author-first=И. М. |author-last=Рыжик |author-link=Иосиф Моисеевич Рыжик |date=1948 |edition=2 |publisher=Gosudarstvennoe Izdatel'stvo Tehniko-Teoretičeskoj Literatury (Государственное издательство технико-теоретической литературы) (GITTL / ГИТТЛ) (Tehteoretizdat / Техтеоретиздат) |location=Moscow}} 400 pages.
• {{anchor|GR-R3}}{{cite book |author-first1=И. М. |author-last1=Рыжик |author-link1=Иосиф Моисеевич Рыжик |author-first2=И. С. |author-last2=Градштейн |author-link2=Израиль Соломонович Градштейн |script-title=ru:Таблицы интегралов, сумм, рядов и произведений |date=1951 |edition=3 |publisher=Gosudarstvennoe Izdatel'stvo Tehniko-Teoretičeskoj Literatury (Государственное издательство технико-теоретической литературы) (GITTL / ГИТТЛ) (Tehteoretizdat / Техтеоретиздат) |language=ru |location=Moscow |lccn=52034158}} 464 pages (+ errata inlet).
• {{anchor|GR-R4}}{{cite book |title=Tablitsy Integralov, Summ, Riadov I Proizvedenii |script-title=ru:Таблицы интегралов, сумм, рядов и произведений |language=ru |author-first1=И. С. |author-last1=Градштейн |author-link1=Израиль Соломонович Градштейн |author-first2=И. М. |author-last2=Рыжик |author-link2=Иосиф Моисеевич Рыжик |editor-first1=Ю. В. |editor-last1=Геронимус |editor-link1=Юрий Венеаминович Геронимус |editor-first2=М. Ю́. |editor-last2=Цейтлин |editor-link2=Михаил Ю́льевич Цейтлин |edition=4 |date=1963 |orig-date=1962 |lccn=63027211 |publisher=Gosudarstvennoe Izdatel'stvo Fiziko-Matematicheskoy Literatury (Государственное издательство физико-математической литературы) (Fizmatgiz / Физматгиз) |location=Moscow |url=https://books.google.com/books?id=lDNNmQEACAAJ}} 1100 pages (+ 8 page errata inlet in later print runs).[https://web.archive.org/web/20131026185012/http://www.vixri.ru/d/Gradshtejn,%20Ryzhikov_Tablicy%20Integralov.pdf][https://web.archive.org/web/20211230191702/http://eqworld.ipmnet.ru/ru/library/books/GradshtejnRyzhik1963ru.djvu] Errata:
• {{anchor|GR-R5}}{{cite book |script-title=ru:Таблицы интегралов, сумм, рядов и произведений |language=ru |author-first1=И. С. |author-last1=Градштейн |author-link1=Израиль Соломонович Градштейн |author-first2=И. М. |author-last2=Рыжик |author-link2=Иосиф Моисеевич Рыжик |editor-first1=Ю. В. |editor-last1=Геронимус |editor-link1=Юрий Венеаминович Геронимус |editor-first2=М. Ю́. |editor-last2=Цейтлин |editor-link2=Михаил Ю́льевич Цейтлин |edition=5 |date=1971 |publisher=Nauka (Наука) |lccn=78876185}} Dark brown fake-leather, 1108 pages.
• {{anchor|GR-R7}}{{cite book |script-title=ru:Таблицы интегралов, ряда и продуктов |language=ru |trans-title=Table of Integrals, Series, and Products |author-first1=И. С. |author-last1=Градштейн |author-link1=Израиль Соломонович Градштейн |author-first2=И. М. |author-last2=Рыжик |author-link2=Иосиф Моисеевич Рыжик |author-first3=Ю. В. |author-last3=Геронимус |author-link3=Юрий Венеаминович Геронимус |author-first4=М. Ю́. |author-last4=Цейтлин |author-link4=Михаил Ю́льевич Цейтлин |editor-first1=Alan |editor-last1=Jeffrey |editor-first2=Daniel |editor-last2=Zwillinger |translator-first=Vasily Vasilyevich |translator-last=Maximov |translator-link=:ru:Максимов, Василий Васильевич (профессор) |edition=7 |date=2011 |publisher=BHV (БХВ-Петербург) |location=Saint-Petersburg, Russia |isbn=978-5-9775-0360-0 |id=GR:11}} l+1182 pages.

• {{anchor|GR-G1}}{{cite book |date=1957 |author-first1=Jossif Moissejewitsch |author-last1=Ryshik |author-link1=Jossif Moissejewitsch Ryshik |author-first2=Israil Solomonowitsch |author-last2=Gradstein |author-link2=Israil Solomonowitsch Gradstein |title=Tafeln / Tables: Summen-, Produkt- und Integral-Tafeln / Tables of Series, Products, and Integrals |edition=1 |language=de, en |translator-first1=Christa |translator-last1=Berg |translator-link1=Christa Berg née Jahncke |translator-first2=Lothar |translator-last2=Berg |translator-link2=Lothar Berg |translator-first3=Martin |translator-last3=Strauss |others=Foreword by {{Interlanguage link|Kurt Erich Schröder|de|3=Kurt Erich Schröder|lt=Schröder, Kurt Erich}} |publisher=Deutscher Verlag der Wissenschaften |location=Berlin, German Democratic Republic |lccn=58028629 |id={{DNB-IDN|454242255}}, Lizenz-Nr. 206, 435/2/57 |url=https://books.google.com/books?id=oP3uAAAAMAAJ |access-date=2016-02-21}} Gray or green linen, xxiii+438 pages. Errata:
• {{anchor|GR-G2}}{{cite book |date=1963 |author-first1=Jossif Moissejewitsch |author-last1=Ryshik |author-link1=Jossif Moissejewitsch Ryshik |author-first2=Israil Solomonowitsch |author-last2=Gradstein |author-link2=Israil Solomonowitsch Gradstein |title=Tafeln / Tables: Summen-, Produkt- und Integral-Tafeln / Tables of Series, Products, and Integrals |edition=2nd corrected |language=de, en |translator-first1=Christa |translator-last1=Berg |translator-link1=Christa Berg née Jahncke |translator-first2=Lothar |translator-last2=Berg |translator-link2=Lothar Berg |translator-first3=Martin |translator-last3=Strauss |others=Foreword by {{Interlanguage link|Kurt Erich Schröder|de|3=Kurt Erich Schröder|lt=Schröder, Kurt Erich}} |publisher=VEB Deutscher Verlag der Wissenschaften (DVW) |location=Berlin, German Democratic Republic |lccn=63025905 |id={{DNB-IDN|579497747}}, Lizenz-Nr. 206, 435/93/63 |url=https://books.google.com/books?id=tI_QAAAAMAAJ |access-date=2016-02-21}} [https://books.google.com/books?id=pRsIAQAAIAAJ] (Printed by VEB Druckerei "Thomas Müntzer", Bad Langensalza. Distributed in the USA by Plenum Press, Inc., New York.) Green linen, xxiii+438 pages + 4 page errata inlet. Errata:
• {{anchor|GR-G3}}File:Book cover of "Gradshteyn and Ryzhik", 3rd German edition, 1981.jpg German-English edition, 1981]]{{cite book |date=1981 |author-first1=Israil Solomonowitsch |author-last1=Gradstein |author-link1=Israil Solomonowitsch Gradstein |author-first2=Jossif Moissejewitsch |author-last2=Ryshik |author-link2=Jossif Moissejewitsch Ryshik |editor-first1=Juri Weneaminowitsch |editor-last1=Geronimus |editor-link1=Juri Weneaminowitsch Geronimus |editor-first2=Michael Juljewitsch |editor-last2=Zeitlin |editor-link2=Michael Juljewitsch Zeitlin |translator-first=Ludwig |translator-last=Boll |translator-link=Ludwig Boll |title=Tafeln / Tables: Summen-, Produkt- und Integraltafeln / Tables of Series, Products, and Integrals |edition=3 |language=de, en |publisher=Verlag Harri Deutsch / Verlag MIR Moscow |location=Berlin / Thun / Frankfurt am Main / Moscow |isbn=3-87144-350-6|lccn=82202345 |id={{DNB-IDN|551448512|881086274|881086282}}}} Gray linen with gilded embossing by A. W. Schipow, 2 volumes, 677+3 & 504 pages.

• {{anchor|GR-P1}}{{cite book |author-first1=I. M. |author-last1=Ryżyk |author-link1=I. M. Ryżyk |author-first2=I. S. |author-last2=Gradsztejn |author-link2=I. S. Gradsztejn |date=1964 |title=Tablice całek, sum, szeregów i iloczynów |language=pl |translator-first=Roman |translator-last=Malesiński |publisher=Państwowe Wydawnictwo Naukowe (PWN) |location=Warsaw, Poland |oclc=749996828 |id={{VIAF|309184374}} |edition=1 |url=https://books.google.com/books?id=32pmtwAACAAJ |access-date=2016-02-16}} Light grayish cover, 464 pages.

• {{anchor|GR-E3}}{{cite book |title=Table of Integrals, Series, and Products |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |editor-first1=Alan |editor-last1=Jeffrey |translator=((Scripta Technica, Inc.)) |date=February 1966 |orig-date=1965 |edition=3 |publisher=Academic Press |isbn=0-12-294750-9 |lccn=65029097 |url=http://catalog.hathitrust.org/Record/000002668 |access-date=2016-02-21}} Black cloth hardcover with gilt titles, white dust jacket, xiv+1086 pages. Errata:
• {{anchor|GR-E4}}{{cite book |title=Table of Integrals, Series, and Products |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |editor-first1=Alan |editor-last1=Jeffrey |translator=((Scripta Technica, Inc.)) |date=1980 |edition=4th corrected and enlarged |publisher=Academic Press, Inc. |isbn=978-0-12-294760-5 |id=GR:4,5,6,7 |url=https://books.google.com/books?id=F7jiBQAAQBAJ |access-date=2016-02-21}} xlvi+1160 pages. Errata:
• {{anchor|GR-E5}}File:Book cover of "Gradshteyn and Ryzhik", 5th English edition, 1994.jpg English edition, 1994]]{{cite book |title=Table of Integrals, Series, and Products |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |editor-first1=Alan |editor-last1=Jeffrey |translator=((Scripta Technica, Inc.)) |date=January 1994 |edition=5 |publisher=Academic Press, Inc. |isbn= |mr=1243179 |url=https://books.google.com/books?id=oDhmngEACAAJ |access-date=2016-02-21}} Blue hardcover with green or blue rectangular and gilt titles, xlvii+1204 pages. (A CD-ROM version with {{ISBN|0-12-294756-8}} / {{ISBN|978-0-12-294756-8}} and {{LCCN|96801532}} was prepared by Lightbinders, Inc. in July 1996.) Errata:
• {{anchor|GR-E6|Chinese|GR-C1}}File:Book cover of "Gradshteyn and Ryzhik", 6th English edition, 2000.jpg English edition, 2000]]{{cite book |title=Table of Integrals, Series, and Products |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |editor-first1=Alan |editor-last1=Jeffrey |editor-first2=Daniel |editor-last2=Zwillinger |translator=((Scripta Technica, Inc.)) |date=July 2000 |edition=6 |publisher=Academic Press, Inc. |isbn=978-0-12-294757-5 |mr=1773820 |id=GR:10 |url=https://books.google.com/books?id=h4y-36vKIZgC |access-date=2016-02-21}} Red cover, xlvii+1163 pages. (A reprint edition "积分, 级数和乘积表" by World Books Press became available in China under {{ISBN|7-5062-6546-X}} / {{ISBN|978-7-5062-6546-1}} in April 2004.) Errata:
• {{anchor|GR-E7|GR-C2}}{{cite book |title=Table of Integrals, Series, and Products |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |editor-first1=Alan |editor-last1=Jeffrey |editor-first2=Daniel |editor-last2=Zwillinger |translator=((Scripta Technica, Inc.)) |date=February 2007 |edition=7 |publisher=Academic Press, Inc. |isbn=978-0-12-373637-6 |id=GR:11 |mr=2360010 |url=https://books.google.com/books?id=aBgFYxKHUjsC |access-date=2016-02-21}} [https://archive.org/details/GradshteinI.S.RyzhikI.M.TablesOfIntegralsSeriesAndProducts][https://web.archive.org/web/20220112203540/http://fisica.ciens.ucv.ve/~svincenz/TISPISGIMR.pdf] xlviii+1171 pages, with CD-ROM. (A reprint edition "积分, 级数和乘积表" by Beijing World Publishing Corporation (世界图书出版公司北京公司 / WPCBJ) became available in China under {{ISBN|7-5062-8235-6}} / {{ISBN|978-7-5062-8235-2}} in May 2007.) Errata:
• {{anchor|GR-E8}}{{cite book |title=Table of Integrals, Series, and Products |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |author-first5=Alan |author-last5=Jeffrey |editor-first1=Daniel |editor-last1=Zwillinger |editor-first2=Victor Hugo |editor-last2=Moll |editor-link2=Victor Hugo Moll |translator=Scripta Technica |date=2015 |orig-date=October 2014 |edition=8 |publisher=Academic Press, Inc. |isbn=978-0-12-384933-5 |id=GR:12 |url=https://books.google.com/books?id=NjnLAwAAQBAJ |access-date=2016-02-21}} xlvi+1133 pages. Errata:

• {{anchor|GR-J1}}{{cite book |author-first1=И. С. |author-last1=Градштейн (Guradoshu グラドシュ) |author-link1=И. С. Градштейн |author-first2=И. М. |author-last2=Рыжик (Rijiku リジク) |author-link2=И. М. Рыжик |date=December 1983 |title=Sūgaku daikōshikishū |script-title=ja:数学大公式集 |language=ja |trans-title=Large collection of mathematical formulae |translator-first=Yoshihiko (大槻 義彦) |translator-last=Otsuki |translator-link=:ja:大槻義彦 |publisher={{Interlanguage link|Maruzen|de}} (丸善) |location=Tokyo, Japan |edition=1 |isbn=978-4-621-02796-7 |id={{NCID|BN00561932}}. {{JPNO|JP84018271}} |url=http://libn02.lib.fit.ac.jp/opc/recordID/catalog.bib/BN00561932 |access-date=2016-04-06}} xv+1085 pages.

• Bateman Manuscript Project
• Prudnikov, Brychkov and Marichev (PBM)
• Bronshtein and Semendyayev (BS)
• Abramowitz and Stegun (AS)
• NIST Handbook of Mathematical Functions (DLMF)
• Jahnke and Emde (JE)
• Magnus and Oberhettinger (MO)
• CRC Standard Mathematical Tables

{{notelist}}

{{reflist|group="nb"|refs=

{{r|group="nb"|name="Ryzhik_Bio"|r={{anchor|NB_Ryzhik_Bio}}Iosif Moiseevich Ryzhik ({{lang|ru|Иосиф Моисеевич Рыжик}}) (1918?–1941?). {{VIAF|15286520}}. {{GND|107340518|1087809320}}.[https://books.google.com/books?id=fEGxAAAAIAAJ&pg=PA300][http://jmemory.org/memorial/R/r-6.htm] (NB. Some sources identify him as a sergeant ({{lang|ru|сержантом}}) born in 1918, originally from Vitebsk ({{lang|ru|Витебска}}), who was drafted into the army in 1939 from Chkalovsk ({{lang|ru|Чкаловска}}), Orenburg ({{lang|ru|Оренбург}}), and got missing in December 1941.[https://web.archive.org/web/20220115233308/http://mishpoha.org/martirolognew/672-martirolog-evrei-vitebska-pavshie-v-boyakh-s-natsizmom-v-1941-1945-gg] However, since a birth year 1918 would have made him a very young author (18), this could also have been a namesake. In the foreword of the first edition of the book, Ryzhik thanked three mathematicians of the Moscow Mathematical Society for their suggestions and advice:

Vyacheslav Vassilievich Stepanov ({{lang|ru|Вячеслав Васильевич Степанов}}), Aleksei Ivanovich Markushevich ({{lang|ru|Алексей Иванович Маркушевич}}), and Ilya Nikolaevich Bronshtein ({{lang|ru|Илья Николаевич Бронштейн}}), suggesting that he must have been in some way associated with this group.)}}

{{r|group="nb"|name="Gradshteyn_Bio"|r=Izrail Solomonovich Gradshteyn ({{lang|ru|Израиль Соломонович Градштейн}}) (1899, Odessa – 1958, Moscow). {{VIAF|20405466}}, {{VIAF|310677818}}, {{VIAF|270418384}}. ISNI 0000000116049405. {{GND|11526194X}}.}}

Following the sources, this article distinguishes between the documented number of formulas and the number of entries.

The fact that Ryzhik's death was not announced before the third edition of the book in 1951 might indicate that his status was unclear for a number of years, or, in the case of the first edition, that typesetting had already started, but actual production of the book had to be delayed and was then finalized in his absence as a consequence of the war.

Yuri Veniaminovich Geronimus ({{lang|ru|Юрий Венеаминович Геронимус}}) (1923–2013), {{GND|131451812}}.

Michail Yulyevich Tseytlin ({{lang|ru|Михаил Ю́льевич Цейтлин}}), also as M. Yu. Ceitlin, Michael Juljewitsch Zeitlin, Michael Juljewitsch Zeitlein, Michael Juljewitsch Tseitlin, Mikhail Juljewitsch Tseitlin (?–).

Christa Berg née {{lang|de|Jahncke}} (?–), {{GND|122341597}} (this entry contains an incorrect birth year and some incorrectly associated books). [https://web.archive.org/web/20170202002232/http://www.oz-trauer.de/danksagung/prof-dr-lothar/43432286]

Lothar Berg (1930-07-28 to 2015-07-27), {{GND|117708054}}. [http://cpr.uni-rostock.de/metadata/cpr_person_00001546][https://web.archive.org/web/20170202002232/http://www.oz-trauer.de/danksagung/prof-dr-lothar/43432286]

{{lang|de|Martin D. H. Strauss}} also as {{lang|de|Martin D. H. Strauß}} (1907-03-18 Pillau, Baltijsk, Ostpreußen – 1978-05-17, East-Berlin, GDR), {{GND|139569200}}, German physicist and philosopher. [https://books.google.com/books?id=qCkbDAAAQBAJ&pg=PA107][http://www.stadtarchiv.goettingen.de/widerstand/texte/kpd-goettingen-strauss-martin.html][https://www.deutsche-biographie.de/sfz128582.html][https://books.google.com/books?id=CmIlEAAAQBAJ&pg=PA100][https://web.archive.org/web/20220207025300/https://books.google.de/books?id=ddz0BQAAQBAJ&pg=PA76&lpg=PA76&dq=Martin+D.+H.+Strauss&source=bl&ots=VvZhw4sy1P&sig=ACfU3U22GevsTrv5EoXD1jzdnH40H_i-Zw&hl=de&sa=X&ved=2ahUKEwjSuPjLyuz1AhWOlf0HHTV3BhUQ6AF6BAgbEAM]

Ludwig Boll (1911-12-10 Gaulsheim, Germany – 1984-12-02), {{GND|1068090308}}, German mathematician. [https://www.oorlogsbronnen.nl/tijdlijn/ludwig-boll/47/12696000][https://books.google.com/books?id=CmIlEAAAQBAJ&pg=PA103]

Alan Jeffrey (1929-07-16 to 2010-06-06), {{GND|113118120}}. [https://www.ams.org/notices/201008/rtx100801006p.pdf][https://dx.doi.org/10.1080/00036811.2012.648369][http://www.librarything.com/author/jeffreyalan]

Daniel "Dan" Ian Zwillinger (1957–), {{GND|172475694}}. [https://web.archive.org/web/20210421112654/http://www.mathtable.com/zwillinger/]

Victor Hugo Moll (1956–), {{GND|173099572}}.

{{anchor|GR-R6}}The seventh Russian edition (2011) was named after the seventh English edition (2007), of which it was a retranslation. There was no sixth genuinely Russian edition. The English series of editions was originally (1965) based on the fourth Russian edition (1962/1963). It is unknown if any changes for the fifth Russian edition (1971) or the third German-English edition (1981), which did incorporate material from the fifth Russian edition, were reflected in any of the English editions in between (and thereby in the seventh Russian edition as well).

}}

{{reflist|refs=

{{anchor|Bierens_de_Haan-1867}}{{cite book |author-first=David |author-last=Bierens de Haan |author-link=David Bierens de Haan |title=Nouvelles tables d'intégrales définies |language=fr |trans-title=New tables of definite integrals |date=1867 |edition=1 |publisher=P. Engels |location=Leiden, Netherlands |url=https://archive.org/details/bub_gb_UEE-AQAAIAAJ |access-date=2016-04-17}} (NB. This book had a precursor in 1858 named {{lang|fr|Tables d'intégrales définies}} [https://books.google.com/books?id=UzvJnYqWYvkC] (published by C. G. van der Post in Amsterdam) with supplement {{lang|fr|Supplément aux tables d'intégrales définies}} [https://books.google.com/books?id=Nexq-LGplu0C] in ca. 1864. Cited as BI ({{lang|ru|БХ}}) in GR.)

{{anchor|Laska-1888}}{{cite book |author-first=Václav Jan |author-last=Láska |author-link=Václav Jan Láska |title=Sammlung von Formeln der reinen und angewandten Mathematik |language=de |trans-title=Compilation of formulae of pure and applied mathematics |date=1888–1894 |volume=1–3 |edition=1 |publisher={{Interlanguage link|Friedrich Vieweg und Sohn|de}} |location=Braunschweig, Germany |oclc=24624148 |url=https://archive.org/details/sammlungformeln00laskrich |access-date=2016-04-17}} (NB. The book writes the author's name as {{lang|de|Wenzel Láska}}. Cited as LA ({{lang|ru|Ла}}) in GR.)

{{anchor|Adams_Hippisley-1922}}{{cite book |author-first1=Edwin Plimpton |author-last1=Adams |author-link1=Edwin Plimpton Adams |author-first2=Richard Lionel |author-last2=Hippisley |editor-first=Alfred George |editor-last=Greenhill |editor-link=Alfred George Greenhill |title=Smithsonian Mathematical Formulae and Tables of Elliptic Functions |volume=74 |edition=1 |series=Smithsonian Miscellaneous Collections |date=1922 |publisher=Smithsonian Institution |location=Washington D.C., USA |url=https://books.google.com/books?id=YKSQngEACAAJ |access-date=2016-04-17}} (NB. Cited as AD ({{lang|ru|А}}) in GR.)

{{anchor|Ryzhik-1936}}{{cite book |script-title=ru:Специальные функции: Собрание формул и вспомогательные таблицы |trans-title=Special functions: A collection of formulas and an auxiliary table |language=ru |author-first=Iosif Moiseevich |author-last=Ryzhik |author-link=Iosif Moiseevich Ryzhik |date=1936 |edition=1 |contribution=Preface |contributor-first=Vyacheslav Vassilievich |contributor-last=Stepanov |contributor-link=Vyacheslav Vassilievich Stepanov |publisher=Объединенное научно-техническое издательство, ONTI. Гострансизд-во. Глав. ред. общетехнич. лит-ры и номографии |location=Moscow / Leningrad |url=http://search.rsl.ru/en/record/01005303273 |access-date=2016-04-09 |url-status=live |archive-url=https://web.archive.org/web/20160409222258/http://search.rsl.ru/en/record/01005303273 |archive-date=2016-04-09}} (160 pages.)

{{cite web |title=The History and Future of Special Functions |at=The story behind Gradshteyn-Ryzhik |author-first=Stephen |author-last=Wolfram |author-link=Stephen Wolfram |date=2005-10-08 |publisher=Stephen Wolfram, LLC |work=Wolfram Technology Conference, Festschrift for Oleg Marichev, in honor of his 60th birthday |location=Champaign, IL, USA |type=speech, blog post |url=http://www.stephenwolfram.com/publications/history-future-special-functions/#GRbook |access-date=2016-04-06 |url-status=live |archive-url=https://web.archive.org/web/20160407015353/http://www.stephenwolfram.com/publications/history-future-special-functions/#GRbook |archive-date=2016-04-07 |quote=[…] In 1936 Iosif Moiseevich Ryzhik had a book entitled Special Functions published by the United Moscow-Leningrad Scientific-Technical Publisher. Ryzhik died in 1941, either during the siege of Leningrad, or fighting on the Russian front. In 1943, a table of formulas was published under Ryzhik's name by the Governmental Moscow-Leningrad Technical-Theoretical Publisher. The only thing the book seems to say about its origins is that it's responding to the shortage of books of formulas. It says that some integrals marked in it are original, but the others mostly come from three books—a French one from 1858, a German one from 1894, and an American one from 1922. It explains that effort went into the ordering of the integrals, and that some are simplified by using a new special function s equal to Gamma[x+y-1]/(Gamma[x]Gamma[y]). It then thanks three fairly prominent mathematicians from Moscow University. That's basically all we know about Ryzhik. […] Israil Solomonovitch Gradshteyn was born in 1899 in Odessa, and became a professor of mathematics at Moscow State University. But in 1948, he was fired as part of the Soviet attack on Jewish academics. To make money, he wanted to write a book. And so he decided to build on Ryzhik's tables. Apparently he never met Ryzhik. But he created a new edition, and by the third edition, the book was known as Gradshteyn-Ryzhik. […] Gradshteyn died of natural causes in Moscow in 1958. Though somehow there developed an urban legend that one of the authors of Gradshteyn-Ryzhik had been shot as a piece of anti-Semitism on the grounds that an error in their tables had caused an airplane crash. […] Meanwhile, starting around 1953, Yurii Geronimus, who had met Gradshteyn at Moscow State University, began helping with the editing of the tables, and actually added the appendices on special functions. Later on, several more people were involved. And when the tables were published in the West, there were arguments about royalties. But Geronimus [in 2005 was] still alive and well and living in Jerusalem, and Oleg phoned him […]}}

{{cite journal |author-first=Karl |author-last=Prachar |author-link=Karl Prachar |title=Ryshik, I. M. und I. S. Gradstein: Summen-, Produkt- und Integraltafeln / Tables of series, products and integrals. Berlin: VEB Deutscher Verlag der Wissenschaften, 1957 |type=review |language=de |journal=Zentralblatt für Mathematik |volume=80 |issue=2 |pages=337–338 |date=1959-09-15 |zbl=0080.33703 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=080&count_=337 |access-date=2016-02-12 |archive-url=https://web.archive.org/web/20160217084102/http://www.zentralblatt-math.org/zmath/scans.html?volume_=080&count_=337 |archive-date=2016-02-17 |url-status=dead}}

{{cite book |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |editor-first1=Alan |editor-last1=Jeffrey |editor-first2=Daniel |editor-last2=Zwillinger |translator=Scripta Technica |title=Table of Integrals, Series, and Products |publisher=Academic Press, Inc. |date=February 2007 |edition=7 |isbn=978-0-12-373637-6 |id=GR:11 |mr=2360010 |url=https://books.google.com/books?id=aBgFYxKHUjsC |access-date=2016-02-21}} [http://fisica.ciens.ucv.ve/~svincenz/TISPISGIMR.pdf]

{{cite book |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |author-first5=Alan |author-last5=Jeffrey |editor-first1=Daniel |editor-last1=Zwillinger |editor-first2=Victor Hugo |editor-last2=Moll |editor-link2=Victor Hugo Moll |translator=Scripta Technica |title=Table of Integrals, Series, and Products |publisher=Academic Press, Inc. |date=2015 |orig-date=October 2014 |edition=8 |isbn=978-0-12-384933-5 |id=GR:12 |url=https://books.google.com/books?id=NjnLAwAAQBAJ |access-date=2016-02-21}}

{{cite book |title=Handbook of Mathematical Formulas and Integrals |author-first=Alan |author-last=Jeffrey |edition=1 |date=1995-01-01 |publisher=Academic Press, Inc. |isbn=978-0-12-382580-3}}

{{cite book |title=Handbook of Mathematical Formulas and Integrals |author-first=Alan |author-last=Jeffrey |edition=2 |date=2000-08-01 |publisher=Academic Press, Inc. |isbn=978-0-12-382251-2 }}

{{cite book |title=Handbook of Mathematical Formulas and Integrals |author-first=Alan |author-last=Jeffrey |edition=3 |date=2004 |publication-date=2003-11-21 |publisher=Academic Press, Inc. |isbn=978-0-12-382256-7 |url=http://www.sciencedirect.com/science/book/9780123822567 |access-date=2016-03-01 |url-status=live |archive-url=https://web.archive.org/web/20220101002815/https://www.sciencedirect.com/book/9780123822567/handbook-of-mathematical-formulas-and-integrals |archive-date=2022-01-01}}

{{cite book |title=Handbook of Mathematical Formulas and Integrals |author-first1=Alan |author-last1=Jeffrey |author-first2=Hui-Hui |author-last2=Dai |edition=4 |date=2008-02-01 |publisher=Academic Press, Inc. |isbn=978-0-12-374288-9 |url=https://books.google.com/books?id=JokQD5nK4LMC |access-date=2016-03-01}} (NB. Contents of companion CD-ROM: [http://booksite.elsevier.com/9780123742889/] [http://booksite.elsevier.com/9780123742889/content/cd_resources.zip])

{{cite book |author-first1=George |author-last1=Boros |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |title=Irresistible Integrals. Symbolics, Analysis and Experiments in the Evaluation of Integrals |publisher=Cambridge University Press (CUP) |date=2006 |orig-date=September 2004 |edition=reprinted 1st |isbn=978-0-521-79186-1|page=xi |url=https://books.google.com/books?id=g9tH8M3NvDIC |access-date=2016-02-22}} [http://www.cambridge.org/en/academic/subjects/mathematics/abstract-analysis/irresistible-integrals-symbolics-analysis-and-experiments-evaluation-integrals?format=PB&isbn=9780521796361] [http://assets.cambridge.org/97805217/96361/frontmatter/9780521796361_frontmatter.pdf] (NB. This edition contains many typographical errors.)

{{cite book |script-title=ru:Таблицы интегралов, ряда и продуктов |trans-title=Table of Integrals, Series, and Products |language=ru |date=2011 |edition=7 |isbn=978-5-9775-0360-0 |publisher=BHV (БХВ-Петербург) |url=http://www.apmath.spbu.ru/ru/staff/maximov/publ/publ1.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316120542/http://www.apmath.spbu.ru/ru/staff/maximov/publ/publ1.pdf |archive-date=2016-03-16}}

{{cite journal|title=Integrals: An Introduction to Analytic Number Theory |author-first=Ilan |author-last=Vardi |date=April 1988 |pages=308–315 |journal=American Mathematical Monthly |volume=95 |issue=4 |doi=10.2307/2323562 |url=http://www.les-mathematiques.net/phorum/file.php?2,file=4114,filename=ArtRMS.pdf |access-date=2016-03-14 |url-status=live |archive-url=https://web.archive.org/web/20160315003619/http://www.les-mathematiques.net/phorum/file.php?2%2Cfile=4114%2Cfilename%3DArtRMS.pdf |archive-date=2016-03-15 |jstor=2323562}} [http://www.les-mathematiques.net/phorum/file.php?2,file=4114,filename=ArtRMS.pdf]

{{cite journal |title=Seized Opportunities |journal=Notices of the American Mathematical Society |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |date=April 2010 |orig-date=2009-08-30 |volume=57 |number=4 |pages=476–484 |url=https://www.ams.org/notices/201004/rtx100400476p.pdf |access-date=2016-04-08 |url-status=live |archive-url=https://web.archive.org/web/20160408230355/http://www.ams.org/notices/201004/rtx100400476p.pdf |archive-date=2016-04-08}} [http://www.math.tulane.edu/~vhm/papers_html/seized.pdf]

{{anchor|Moll-29}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 29: Chebyshev polynomials |author-first1=Victor Hugo |author-last1=Moll |author-link1=Victor Hugo Moll |author-first2=Christophe |author-last2=Vignat |journal=Scientia |series=Series A: Mathematical Sciences |url=http://www.math.tulane.edu/~vhm/formula_html/final29.pdf |access-date=2016-03-13 |url-status=usurped |archive-url=https://web.archive.org/web/20160313025625/http://129.81.170.14/~vhm/formula_html/final29.pdf |archive-date=2016-03-13}} (NB. This paper discusses 19 GR entries: 1.14.2.1, 1.320, 2.18.1.9, 3.753.2, 3.771.8, 6.611, 7.341.1, 7.341.2, 7.342, 7.343.1, 7.344.1, 7.344.2, 7.346, 7.348, 7.349, 7.355.1, 7.355.2, 8.411.1, 8.921. [http://www.math.tulane.edu/~vhm/part29-index.pdf])

{{anchor|Moll-30}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions |author-first1=Tewodros |author-last1=Amdeberhan |author-first2=Atul |author-last2=Dixit |author-first3=Xiao |author-last3=Guan |author-first4=Lin |author-last4=Jiu |author-first5=Alexey |author-last5=Kuznetsov |author-first6=Victor Hugo |author-last6=Moll |author-link6=Victor Hugo Moll |author-first7=Christophe |author-last7=Vignat |journal=Scientia |series=Series A: Mathematical Sciences |url=http://www.math.tulane.edu/~vhm/formula_html/final30.pdf |access-date=2016-03-13 |url-status=usurped |archive-url=https://web.archive.org/web/20160313025646/http://129.81.170.14/~vhm/formula_html/final30.pdf |archive-date=2016-03-13}} (NB. This paper discusses 51 GR entries: 1.320.1, 1.320.3, 1.320.5, 1.320.7, 2.01.5, 2.01.6, 2.01.7, 2.01.8, 2.01.9, 2.01.10, 2.01.11, 2.01.12, 2.01.13, 2.01.14, 2.513.1, 2.513.2, 2.513.3, 2.513.4, 3.231.5, 3.274.2, 3.541.8, 3.611.3, 3.621.3, 3.621.4, 3.624.6, 3.631.16, 3.661.3, 3.661.4, 3.675.1, 3.675.2, 3.688.1, 3.721.1, 3.747.7, 3.761.4, 4.381.1, 4.381.2, 4.381.3, 4.381.4, 4.521.1, 6.671.7, 6.671.8, 7.244.1, 7.244.2, 7.531.1, 7.531.2, 8.230.1, 8.230.2, 8.361.7, 8.370, 8.910.2, 8.911.1. It also contains 1 errata for GR entry 3.541.8. [http://www.math.tulane.edu/~vhm/part30-index.pdf])

{{anchor|Moll-X1}}{{cite journal |title=Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets |author-first1=Ivan |author-last1=Gonzalez |author-first2=Karen T. |author-last2=Kohl |author-first3=Victor Hugo |author-last3=Moll |author-link3=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=25 |publication-date=2014 |date=2014-06-13 |orig-date=2014-03-19 |pages=65–84 |url=http://www.mat.utfsm.cl/scientia/archivos/vol25/articulo8.pdf |access-date=2016-03-13}} (NB. This paper is also incorporated into volume II.)

{{anchor|Moll-1}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=14 |publication-date=2007 |date=2006-11-06 |orig-date=2006-07-21 |pages=1–6 |url=http://www.mat.utfsm.cl/scientia/archivos/vol14/a12007.pdf |access-date=2016-03-14 |url-status=dead |archive-url=https://web.archive.org/web/20170202005502/http://www.mat.utfsm.cl/scientia/archivos/vol14/a12007.pdf |archive-date=2017-02-02}} [http://www.math.tulane.edu/~vhm/formula_html/final1.pdf] (NB. This paper (from volume I) discusses 10 GR entries: 3.419.2, 3.419.3, 3.419.4, 3.419.5, 3.419.6, 4.232.3, 4.261.4, 4.262.3, 4.263.1, 4.264.3. [https://web.archive.org/web/20170202113035/http://129.81.170.14/~vhm/part1-index.pdf])

{{anchor|Moll-2}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 2: Elementary logarithmic integrals |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=14 |publication-date=2007 |orig-date=2006-06-27 |date=2006-11-06 |pages=7–15 |url=http://www.mat.utfsm.cl/scientia/archivos/vol14/a22007.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final2.pdf] (NB. This paper (from volume I) discusses 5 GR entries: 4.231.1, 4.231.5, 4.231.6, 4.232.1, 4.232.2. [http://www.math.tulane.edu/~vhm/part2-index.pdf])

{{anchor|Moll-3}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=15 |publication-date=2007 |orig-date=2006-12-27 |date=2007-01-16 |pages=31–36 |arxiv=0705.0175 |url=http://www.mat.utfsm.cl/scientia/archivos/vol15/ar4.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final3.pdf] (NB. This paper (from volume I) discusses 8 GR entries: 4.331.1, 4.335.1, 4.335.3, 4.352.1, 4.352.2, 4.352.3, 4.352.4, 4.353.2. [http://www.math.tulane.edu/~vhm/part3-index.pdf])

{{anchor|Moll-4}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 4: The gamma function |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=15 |publication-date=2007 |date=2007-01-16 |orig-date=2006-12-27 |pages=37–46 |arxiv=0705.0179 |url=http://www.mat.utfsm.cl/scientia/archivos/vol15/ar5.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final4.pdf] (NB. This paper (from volume I) discusses 44 GR entries: 3.324.2, 3.326.1, 3.326.2, 3.328, 3.351.3, 3.371, 3.381.4, 3.382.2, 3.434.1, 3.434.2, 3.461.2, 3.461.3, 3.462.9, 3.471.3, 3.478.1, 3.478.2, 3.481.1, 3.481.2, 4.215.1, 4.215.2, 4.215.3, 4.215.4, 4.229.1, 4.229.3, 4.229.4, 4.269.3, 4.272.5, 4.272.6, 4.272.7, 4.325.8, 4.325.11, 4.325.12,, 4.331.1 4.333, 4.335.1, 4.335.3, 4.355.1, 4.355.3, 4.355.4, 4.358.2, 4.358.3, 4.358.4, 4.369.1, 4.369.2. [http://www.math.tulane.edu/~vhm/part4-index.pdf])

{{anchor|Moll-5}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals |author-first1=Tewodros |author-last1=Amdeberhan |author-first2=Luis A. |author-last2=Medina |author-first3=Victor Hugo |author-last3=Moll |author-link3=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=15 |publication-date=2007 |date=2007-01-16 |orig-date=2006-12-27 |pages=47–60 |arxiv=0705.2379 |url=http://www.mat.utfsm.cl/scientia/archivos/vol15/ar6.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final5.pdf] [http://emmy.uprrp.edu/lmedina/papers/part5/Part5.pdf] (NB. This paper (from volume I) discusses 10 GR entries: 3.621.1, 3.621.3, 3.621.4, 3.761.11, 3.764.1, 3.764.2, 3.821.3, 3.821.14, 3.822.1, 3.822.2. [http://www.math.tulane.edu/~vhm/part5-index.pdf])

{{anchor|Moll-6}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 6: The beta function |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=16 |publication-date=2008 |date=2007-10-31 |orig-date=2007-08-31 |pages=9–24 |arxiv=0707.2121 |url=http://www.mat.utfsm.cl/scientia/archivos/vol16/ar2.pdf |access-date=2016-03-14 |archive-date=2016-03-14 |archive-url=https://web.archive.org/web/20160314002821/http://www.mat.utfsm.cl/scientia/archivos/vol16/ar2.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final6.pdf] (NB. This paper (from volume I) discusses 65 GR entries: 3.191.1, 3.191.2, 3.191.3, 3.192.1, 3.192.2, 3.193, 3.194.3, 3.194.4, 3.194.6, 3.194.7, 3.196.2, 3.196.3, 3.196.4, 3.196.5, 3.216.1, 3.216.2, 3.217, 3.218, 3.221.1, 3.221.2, 3.222.2, 3.223.1, 3.223.2, 3.223.3, 3.224, 3.225.1, 3.225.2, 3.225.3, 3.226.1, 3.226.2, 3.241.2, 3.241.4, 3.241.5, 3.248.1, 3.248.2, 3.248.3, 3.249.1, 3.249.2, 3.249.5, 3.249.7, 3.249.8, 3.251.1, 3.251.2, 3.251.3, 3.251.4, 3.251.5, 3.251.6, 3.251.8, 3.251.9, 3.251.10, 3.251.11, 3.267.1, 3.267.2, 3.267.3, 3.311.3, 3.311.9, 3.312.1, 3.313.1, 3.313.2, 3.314, 3.457.3, 4.251.1, 4.273, 4.275.1, 4.321.1. [http://www.math.tulane.edu/~vhm/part6-index.pdf])

{{anchor|Moll-7}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples |author-first1=Tewodros |author-last1=Amdeberhan |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=16 |publication-date=2008 |date=2007-10-31 |orig-date=2007-08-21 |pages=25–39 |arxiv=0707.2122 |url=http://www.mat.utfsm.cl/scientia/archivos/vol16/ar3.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final7.pdf] (NB. This paper (from volume I) discusses 30 GR entries: 2.321.1, 2.321.2, 2.322.1, 2.322.2, 2.322.3, 2.322.4, 3.195, 3.248.4, 3.248.6, 3.249.1, 3.249.6, 3.252.1, 3.252.2, 3.252.3, 3.268.1, 3.310, 3.311.1, 3.351.1, 3.351.2, 3.351.7, 3.351.8, 3.351.9, 3.353.4, 3.411.19, 3.411.20, 3.471.1, 3.622.3, 3.622.4, 4.212.7, 4.222.1. [http://www.math.tulane.edu/~vhm/part7-index.pdf])

{{anchor|Moll-8}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms |author-first1=Victor Hugo |author-last1=Moll |author-link1=Victor Hugo Moll |author-first2=Jason |author-last2=Rosenberg |author-first3=Armin |author-last3=Straub |author-first4=Pat |author-last4=Whitworth |journal=Scientia |series=Series A: Mathematical Sciences |volume=16 |publication-date=2008 |date=2007-10-31 |orig-date=2007-08-31 |pages=41–50 |arxiv=0707.2123 |url=http://www.mat.utfsm.cl/scientia/archivos/vol16/ar4.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final8.pdf] (NB. This paper (from volume I) discusses 7 GR entries: 3.351.1, 4.331.1, 4.351.1, 4.351.2, 4.353.3, 4.362.1, 8.350.1. [http://www.math.tulane.edu/~vhm/part8-index.pdf])

{{anchor|Moll-9}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 9: Combinations of logarithms, rational and trigonometric functions |author-first1=Tewodros |author-last1=Amdeberhan |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |author-first3=Jason |author-last3=Rosenberg |author-first4=Armin |author-last4=Straub |author-first5=Pat |author-last5=Whitworth |journal=Scientia |series=Series A: Mathematical Sciences |volume=17 |publication-date=2009 |date=2008-11-18 |orig-date=2007-11-29 |pages=27–44 |url=http://www.mat.utfsm.cl/scientia/archivos/vol17/ar5.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final9.pdf] (NB. This paper (from volume I) discusses 45 GR entries: 2.148.4, 3.747.7, 4.223.1, 4.223.2, 4.224.1, 4.224.2, 4.224.3, 4.224.4, 4.224.5, 4.224.6, 4.225.1, 4.225.2, 4.227.1, 4.227.2, 4.227.3, 4.227.9, 4.227.10, 4.227.11, 4.227.13, 4.227.14, 4.227.15, 4.231.1, 4.231.2, 4.231.3, 4.231.4, 4.231.8, 4.231.9, 4.231.11, 4.231.12, 4.231.13, 4.231.14, 4.231.15, 4.231.19, 4.231.20, 4.233.1, 4.261.8, 4.291.1, 4.291.2, 4.295.5, 4.295.6, 4.295.11, 4.521.1, 4.531.1, 8.366.3, 8.380.3. [http://www.math.tulane.edu/~vhm/part9-index.pdf])

{{anchor|Moll-10}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 10: The digamma function |author-first1=Luis A. |author-last1=Medina |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=17 |publication-date=2009 |date=2008-11-18 |orig-date=2007-11-29 |pages=45–66 |url=http://www.mat.utfsm.cl/scientia/archivos/vol17/ar6.pdf |access-date=2016-03-14 |archive-date=2016-03-14 |archive-url=https://web.archive.org/web/20160314004112/http://www.mat.utfsm.cl/scientia/archivos/vol17/ar6.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final10.pdf] [http://emmy.uprrp.edu/lmedina/papers/part10/Part10.pdf] (NB. This paper (from volume I) discusses 76 GR entries: 3.219, 3.231.1, 3.231.3, 3.231.5, 3.231.6, 3.233, 3.234.1, 3.235, 3.244.2, 3.244.3, 3.265, 3.268.2, 3.269.1, 3.269.3, 3.311.5, 3.311.6, 3.311.7, 3.311.8, 3.311.10, 3.311.11, 3.311.12, 3.312.2, 3.316, 3.317.1, 3.317.2, 3.427.1, 3.427.2, 3.429, 3.434.2, 3.435.3, 3.435.4, 3.442.3, 3.457.1, 3.463, 3.467, 3.469.2, 3.469.3, 3.471.14, 3.475.1, 3.475.2, 3.475.3, 3.476.1, 3.476.2, 4.241.1, 4.241.2, 4.241.3, 4.241.4, 4.241.5, 4.241.7, 4.241.8, 4.241.9, 4.241.10, 4.241.11, 4.243, 4.244.1, 4.244.2, 4.244.3, 4.245.1, 4.245.2, 4.246, 4.247.1, 4.247.2, 4.251.4, 4.253.1, 4.254.1, 4.254.6, 4.256, 4.271.15, 4.275.2, 4.281.1, 4.281.4, 4.281.5, 4.293.8, 4.293.13, 4.331.1, 8.371.2. [http://www.math.tulane.edu/~vhm/part10-index.pdf])

{{anchor|Moll-11}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 11: The incomplete beta function |author-first1=Khristo N. |author-last1=Boyadzhiev |author-first2=Luis A. |author-last2=Medina |author-first3=Victor Hugo |author-last3=Moll |author-link3=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=18 |publication-date=2009 |date=2009-03-16 |orig-date=2008-07-02 |pages=61–75 |url=http://www.mat.utfsm.cl/scientia/archivos/vol18/ar6.pdf |access-date=2016-03-14 |archive-date=2016-03-14 |archive-url=https://web.archive.org/web/20160314004555/http://www.mat.utfsm.cl/scientia/archivos/vol18/ar6.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final11.pdf] [http://emmy.uprrp.edu/lmedina/papers/part11/Part11.pdf] (NB. This paper (from volume I) discusses 52 GR entries: 3.222.1, 3.231.2, 3.231.4, 3.241.1, 3.244.1, 3.249.4, 3.251.7, 3.269.2, 3.311.2, 3.311.13, 3.522.4, 3.541.6, 3.541.7, 3.541.8, 3.622.2, 3.623.2, 3.623.3, 3.624.1, 3.635.1, 3.651.1, 3.651.2, 3.656.1, 3.981.3, 4.231.1, 4.231.6, 4.231.11, 4.231.12, 4.231.14, 4.231.19, 4.231.20, 4.234.1, 4.234.2, 4.251.3, 4.254.4, 4.261.2, 4.261.6, 4.261.11, 4.262.1, 4.262.4, 4.263.2, 4.264.1, 4.265, 4.266.1, 4.271.1, 4.271.16, 8.361.7, 8.365.4, 8.366.3, 8.366.11, 8.366.12, 8.366.13, 8.370. [http://www.math.tulane.edu/~vhm/part11-index.pdf])

{{anchor|Moll-12}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals |author-first1=Victor Hugo |author-last1=Moll |author-link1=Victor Hugo Moll |author-first2=Ronald A. |author-last2=Posey |journal=Scientia |series=Series A: Mathematical Sciences |volume=18 |publication-date=2009 |date=2009-03-16 |orig-date=2008-07-02 |pages=77–84 |url=http://www.mat.utfsm.cl/scientia/archivos/vol18/ar7.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final2.pdf] (NB. This paper (from volume I) discusses 6 GR entries: 4.231.1, 4.233.1, 4.233.2, 4.233.3, 4.233.4, 4.261.8. [http://www.math.tulane.edu/~vhm/part12-index.pdf])

{{anchor|Moll-13}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 13: Trigonometric forms of the beta function |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=19 |publication-date=2010 |date=2010-10-10 |orig-date=2009-07-07 |pages=91–96 |arxiv=1004.2439 |url=http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art11.pdf |access-date=2016-03-14 |archive-date=2016-03-14 |archive-url=https://web.archive.org/web/20160314004620/http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art11.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final3.pdf] (NB. This paper (from volume I) discusses 21 GR entries: 3.621.1, 3.621.2, 3.621.3, 3.621.4, 3.621.5, 3.621.6, 3.621.7, 3.622.1, 3.623.1, 3.624.2, 3.624.3, 3.624.4, 3.624.5, 3.625.1, 3.625.2, 3.625.3, 3.625.4, 3.626.1, 3.626.2, 3.627, 3.628. [http://www.math.tulane.edu/~vhm/part13-index.pdf])

{{anchor|Moll-14}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 14: An elementary evaluation of entry 3.411.5 |author-first1=Tewodros |author-last1=Amdeberhan |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=19 |publication-date=2010 |date=2010-10-10 |orig-date=2009-07-07 |pages=97–103 |arxiv=1004.2440 |url=http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art12.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final14.pdf] (NB. This paper (from volume I) discusses 1 GR entry: 3.411.5. [http://www.math.tulane.edu/~vhm/part14-index.pdf])

{{anchor|Moll-15}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 15: Frullani integrals |author-first1=Matthew |author-last1=Albano |author-first2=Tewodros |author-last2=Amdeberhan |author-first3=Erin |author-last3=Beyerstedt |author-first4=Victor Hugo |author-last4=Moll |author-link4=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=19 |publication-date=2010 |date=2010-07-18 |orig-date=2010-04-20 |pages=113–119 |arxiv=1005.2940 |url=http://www.mat.utfsm.cl/scientia/archivos/vol19/vol19art14.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final15.pdf] (NB. This paper (from volume I) discusses 12 GR entries: 3.232, 3.329, 3.412.1, 3.434.2, 3.436, 3.476.1, 3.484, 4.267.8, 4.297.7, 4.319.3, 4.324.2, 4.536.2. [http://www.math.tulane.edu/~vhm/part15-index.pdf])

{{anchor|Moll-16}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 16: Complete elliptic integrals |author-first1=Stefan Thomas |author-last1=Boettner |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=20 |publication-date=2010 |date=2010-07-21 |orig-date=2010-03-22 |pages=45–59 |arxiv=1005.2941 |url=http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art4.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final16.pdf] (NB. This paper (from volume II) discusses 36 GR entries: 1.421.1, 3.166.16, 3.166.18, 3.721.1, 3.821.7, 3.841.1, 3.841.2, 3.841.3, 3.841.4, 3.842.3, 3.842.4, 3.844.1, 3.844.2, 3.844.3, 3.844.4, 3.844.5, 3.844.6, 3.844.7, 3.844.8, 3.846.1, 3.846.2, 3.846.3, 3.846.4, 3.846.5, 3.846.6, 3.846.7, 3.846.8, 4.242.1, 4.395.1, 4.414.1, 4.432.1, 4.522.4, 4.522.5, 4.522.6, 4.522.7, 8.129.1. [http://www.math.tulane.edu/~vhm/part16-index.pdf])

{{anchor|Moll-17}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 17: The Riemann zeta function |author-first1=Tewodros |author-last1=Amdeberhan |author-first2=Khristo N. |author-last2=Boyadzhiev |author-first3=Victor Hugo |author-last3=Moll |author-link3=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=20 |publication-date=2010 |date=2010-07-21 |orig-date=2010-03-22 |pages=61–71 |url=http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art5.pdf |access-date=2016-03-14 |archive-date=2016-03-14 |archive-url=https://web.archive.org/web/20160314005516/http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art5.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final17.pdf] (NB. This paper (from volume II) discusses 36 GR entries: 3.333.1, 3.333.2, 3.411.1, 3.411.2, 3.411.3, 3.411.4, 3.411.6, 3.411.7, 3.411.8, 3.411.9, 3.411.10, 3.411.11, 3.411.12, 3.411.13, 3.411.14, 3.411.15, 3.411.17, 3.411.18, 3.411.21, 3.411.22, 3.411.25, 3.411.26, 4.231.1, 4.231.2, 4.261.12, 4.261.13, 4.262.1, 4.262.2, 4.262.5, 4.262.6, 4.264.1, 4.264.2, 4.266.1, 4.266.2, 4.271.1, 4.271.2. [http://www.math.tulane.edu/~vhm/part17-index.pdf])

{{anchor|Moll-18}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 18: Some automatic proofs |author-first1=Christoph |author-last1=Koutschan |author-link1=Christoph Koutschan |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=20 |publication-date=2010 |date=2010-08-21 |orig-date=2010-04-26 |pages=93–111 |url=http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art8.pdf |access-date=2016-03-14 |url-status=live |archive-url=https://web.archive.org/web/20160314005548/http://www.mat.utfsm.cl/scientia/archivos/vol20/vol20art8.pdf |archive-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final18.pdf] [http://www.koutschan.de/publ/KoutschanMoll11/final18.pdf] (NB. This paper (from volume II) discusses 7 GR entries: 2.148.3, 3.953, 4.535.1, 6.512.1, 7.322, 7.349, 7.512.5. [http://www.math.tulane.edu/~vhm/part18-index.pdf])

{{anchor|Moll-19}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 19: The error function |author-first1=Matthew |author-last1=Albano |author-first2=Tewodros |author-last2=Amdeberhan |author-first3=Erin |author-last3=Beyerstedt |author-first4=Victor Hugo |author-last4=Moll |author-link4=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=21 |publication-date=2011 |date=2011-04-13 |orig-date=2010-12-23 |pages=25–42 |url=http://www.mat.utfsm.cl/scientia/archivos/vol21/vol21art3.pdf |access-date=2016-03-14 |archive-date=2016-03-10 |archive-url=https://web.archive.org/web/20160310090923/http://www.mat.utfsm.cl/scientia/archivos/vol21/vol21art3.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final19.pdf] (NB. This paper (from volume II) discusses 42 GR entries: 3.321.1, 3.321.2, 3.321.3, 3.321.4, 3.321.5, 3.321.6, 3.321.7, 3.322.1, 3.322.2, 3.323.1, 3.323.2, 3.325, 3.361.1, 3.361.2, 3.361.3, 3.362.1, 3.362.2, 3.363.1, 3.363.2, 3.369, 3.382.4, 3.461.5, 3.462.5, 3.462.6, 3.462.7, 3.462.8, 3.464, 3.466.1, 3.466.2, 3.471.15, 3.471.16, 3.472.1, 6.281.1, 6.282.1, 6.283.1, 6.283.2, 6.294.1, 8.258.1, 8.258.2, 8.258.3, 8.258.4, 8.258.5. [http://www.math.tulane.edu/~vhm/part19-index.pdf])

{{anchor|Moll-20}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 20: Hypergeometric functions |author-first1=Karen T. |author-last1=Kohl |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=21 |publication-date=2011 |date=2011-04-13 |orig-date=2010-12-23 |pages=43–54 |url=http://www.mat.utfsm.cl/scientia/archivos/vol21/vol21art4.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final20.pdf] (NB. This paper (from volume II) discusses 26 GR entries: 3.194.1, 3.194.2, 3.194.5, 3.196.1, 3.197.1, 3.197.2, 3.197.3, 3.197.4, 3.197.5, 3.197.6, 3.197.7, 3.197.8, 3.197.9, 3.197.10, 3.197.11, 3.197.12, 3.198, 3.199, 3.227.1, 3.254.1, 3.254.2, 3.259.2, 3.312.3, 3.389.1, 9.121.4, 9.131.1. [http://www.math.tulane.edu/~vhm/part20-index.pdf])

{{anchor|Moll-21}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 21: Hyperbolic functions |author-first1=Khristo N. |author-last1=Boyadzhiev |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=22 |publication-date=2012 |date=2012-10-20 |orig-date=2012-05-15 |pages=109–127 |url=http://www.math.tulane.edu/~vhm/formula_html/final21.pdf |access-date=2016-03-14 |url-status=live |archive-url=https://web.archive.org/web/20160314010129/http://129.81.170.14/~vhm/formula_html/final21.pdf |archive-date=2016-03-14}} (NB. This paper (from volume II) discusses 75 GR entries: 2.423.9, 3.231.2, 3.231.5, 3.265, 3.511.1, 3.511.2, 3.511.4, 3.511.5, 3.511.8, 3.512.1, 3.512.2, 3.521.1, 3.521.2, 3.522.3, 3.522.6, 3.522.8, 3.522.10, 3.523.2, 3.523.3, 3.523.4, 3.523.5, 3.523.6, 3.523.7, 3.523.8, 3.523.9, 3.523.10, 3.523.11, 3.523.12, 3.524.2, 3.524.4, 3.524.6, 3.524.8, 3.524.9, 3.524.10, 3.524.11, 3.524.12, 3.524.13, 3.524.14, 3.524.15, 3.524.16, 3.524.17, 3.524.18, 3.524.19, 3.524.20, 3.524.21, 3.524.22, 3.524.23, 3.525.1, 3.525.2, 3.525.3, 3.525.4, 3.525.5, 3.525.6, 3.525.7, 3.525.8, 3.527.1, 3.527.2, 3.527.3, 3.527.4, 3.527.5, 3.527.6, 3.527.7, 3.527.8, 3.527.9, 3.527.10, 3.527.11, 3.527.12, 3.527.13, 3.527.14, 3.527.15, 3.527.16, 3.543.2, 4.113.3, 4.231.12, 8.365.9. [http://www.math.tulane.edu/~vhm/part21-index.pdf])

{{anchor|Moll-22}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 22: Bessel-K functions |author-first1=Larry |author-last1=Glasser |author-first2=Karen T. |author-last2=Kohl |author-first3=Christoph |author-last3=Koutschan |author-link3=Christoph Koutschan |author-first4=Victor Hugo |author-last4=Moll |author-link4=Victor Hugo Moll |author-first5=Armin |author-last5=Straub |journal=Scientia |series=Series A: Mathematical Sciences |volume=22 |publication-date=2012 |date=2012-10-20 |orig-date=2012-05-15 |pages=129–151 |url=http://www.math.tulane.edu/~vhm/formula_html/final22.pdf |access-date=2016-03-14 |url-status=live |archive-url=https://web.archive.org/web/20160314010242/http://129.81.170.14/~vhm/formula_html/final22.pdf |archive-date=2016-03-14}} [http://www.koutschan.de/publ/GlasserKohlKoutschanMollStraub12/final22.pdf] (NB. This paper (from volume II) discusses 36 GR entries: 3.323.3, 3.324.1, 3.337.1, 3.364.3, 3.365.2, 3.366.2, 3.372, 3.383.3, 3.383.8, 3.387.1, 3.387.3, 3.387.6, 3.388.2, 3.389.4, 3.391, 3.395.1, 3.461.6, 3.461.7, 3.461.8, 3.461.9, 3.462.20, 3.462.21, 3.462.22, 3.462.23, 3.462.24, 3.462.25, 3.469.1, 3.471.4, 3.471.8, 3.471.9, 3.471.12, 3.478.4, 3.479.1, 3.547.2, 3.547.4, 8.432.6. [http://www.math.tulane.edu/~vhm/part22-index.pdf])

{{anchor|Moll-23}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 23: Combination of logarithms and rational functions |author-first1=Luis A. |author-last1=Medina |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=23 |publication-date=2012 |date=2012-06-25 |orig-date=2012-02-01 |pages=1–18 |url=http://www.mat.utfsm.cl/scientia/archivos/vol23/articulo1vol23Rev.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final23.pdf] [http://emmy.uprrp.edu/lmedina/papers/part23/Part23.pdf] (NB. This paper (from volume II) discusses 54 GR entries: 3.417.1, 3.417.2, 4.212.7, 4.224.5, 4.224.6, 4.225.1, 4.225.2, 4.231.1, 4.231.2, 4.231.8, 4.231.9, 4.231.10, 4.231.11, 4.231.16, 4.231.17, 4.231.18, 4.233.1, 4.234.3, 4.234.6, 4.234.7, 4.234.8, 4.262.7, 4.262.8, 4.262.9, 4.291.1, 4.291.2, 4.291.3, 4.291.4, 4.291.5, 4.291.6, 4.291.7, 4.291.8, 4.291.9, 4.291.10, 4.291.11, 4.291.12, 4.291.13, 4.291.14, 4.291.15, 4.291.16, 4.291.17, 4.291.18, 4.291.19, 4.291.20, 4.291.21, 4.291.22, 4.291.23, 4.291.24, 4.291.25, 4.291.26, 4.291.27, 4.291.28, 4.291.29, 4.291.30. [http://www.math.tulane.edu/~vhm/part23-index.pdf])

{{anchor|Moll-24}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 24: Polylogarithm functions |author-first1=Kim |author-last1=McInturff |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=23 |publication-date=2012 |date=2012-07-28 |orig-date=2012-02-01 |pages=45–51 |url=http://www.mat.utfsm.cl/scientia/archivos/vol23/articulo5vol23Rev.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final24.pdf] (NB. This paper (from volume II) discusses 10 GR entries: 3.418.1, 3.514.1, 3.531.1, 3.531.2, 3.531.3, 3.531.4, 3.531.5, 3.531.6, 3.531.7, 9.513.1. [http://www.math.tulane.edu/~vhm/part24-index.pdf])

{{anchor|Moll-25}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 25: Evaluation by series |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=23 |publication-date=2012 |date=2012-07-28 |orig-date=2012-02-01 |pages=53–65 |url=http://www.mat.utfsm.cl/scientia/archivos/vol23/articulo6vol23Rev.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final25.pdf] (NB. This paper (from volume II) discusses 18 GR entries: 3.194.8, 3.311.4, 3.342, 3.451.1, 3.451.2, 3.466.3, 3.747.7, 4.221.1, 4.221.2, 4.221.3, 4.251.5, 4.251.6, 4.269.1, 4.269.2, 8.339.1, 8.339.2, 8.365.4, 8.366.3. [http://www.math.tulane.edu/~vhm/part25-index.pdf])

{{anchor|Moll-26}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 26: The exponential integral |author-first1=Khristo N. |author-last1=Boyadzhiev |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=26 |publication-date=2015 |date=2015-01-30 |orig-date=2014-09-19 |pages=19–30 |url=http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-3.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final26.pdf] (NB. This paper (from volume II) discusses 41 GR entries: 3.327, 3.351.4, 3.351.5, 3.351.6, 3.352.1, 3.352.2, 3.352.3, 3.352.4, 3.352.5, 3.352.6, 3.353.1, 3.353.2, 3.353.3, 3.353.4, 3.353.5, 3.354.1, 3.354.2, 3.354.3, 3.354.4, 3.355.1, 3.355.2, 3.355.3, 3.355.4, 3.356.1, 3.356.2, 3.356.3, 3.356.4, 3.357.1, 3.357.2, 3.357.3, 3.357.4, 3.357.5, 3.357.6, 3.358.1, 3.358.2, 3.358.3, 3.358.4, 4.211.1, 4.211.2, 4.212.1, 4.212.2. [http://www.math.tulane.edu/~vhm/part26-index.pdf])

{{anchor|Moll-27}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 27: More logarithmic examples |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |author-first1=Luis A. |author-last1=Medina |journal=Scientia |series=Series A: Mathematical Sciences |volume=26 |publication-date=2015 |date=2015-01-30 |orig-date=2014-09-16 |pages=31–47 |url=http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-4.pdf |access-date=2016-03-14}} [http://www.math.tulane.edu/~vhm/formula_html/final27.pdf] (NB. This paper (from volume II) discusses 37 GR entries: 3.194.3, 3.231.1, 3.231.5, 3.231.6, 3.241.3, 3.621.3, 3.621.5, 4.224.2, 4.231.1, 4.231.2, 4.231.8, 4.233.5, 4.234.4, 4.234.5, 4.235.1, 4.235.2, 4.235.3, 4.235.4, 4.241.5, 4.241.6, 4.241.7, 4.241.11, 4.251.1, 4.251.2, 4.252.1, 4.252.2, 4.252.3, 4.252.4, 4.254.2, 4.254.3, 4.255.2, 4.255.3, 4.257.1, 4.261.9, 4.261.15, 4.261.16, 4.297.8. [http://www.math.tulane.edu/~vhm/part27-index.pdf])

{{anchor|Moll-28}}{{cite journal |title=The integrals in Gradshteyn and Ryzhik. Part 28: The confluent hypergeometric function and Whittaker functions |author-first1=Atul |author-last1=Dixit |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |journal=Scientia |series=Series A: Mathematical Sciences |volume=26 |publication-date=2015 |date=2015-02-01 |orig-date=2014-09-30 |pages=49–61 |url=http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-5.pdf |access-date=2016-03-14 |archive-date=2016-03-14 |archive-url=https://web.archive.org/web/20160314010912/http://www.mat.utfsm.cl/scientia/archivos/vol26/Articulo-5.pdf |url-status=dead }} [http://www.math.tulane.edu/~vhm/formula_html/final28.pdf] (NB. This paper (from volume II) discusses 17 GR entries: 7.612.1, 7.612.2, 7.621.1, 7.621.2, 7.621.3, 7.621.4, 7.621.5, 7.621.6, 7.621.7, 7.621.8, 7.621.9, 7.621.10, 7.621.11, 7.621.12, 8.334.2, 8.703, 9.211.4. [http://www.math.tulane.edu/~vhm/part28-index.pdf])

{{cite web |title=Index of the papers in Revista Scientia with formulas from GR |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |date=2012 |url=http://www.math.tulane.edu/~vhm/pap-index.html |access-date=2016-02-17}}

{{anchor|Moll-V1}}{{cite book |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |title=Special Integrals of Gradshteyn and Ryzhik: the Proofs |volume=I |edition=1 |series=Monographs and Research Notes in Mathematics |publisher=Chapman and Hall/CRC Press/Taylor & Francis Group, LLC |date=2014-10-01 |publication-date=2014-11-12 |isbn=978-1-4822-5651-2 |url=https://books.google.com/books?id=dRYeBQAAQBAJ&q=9781482256512 |access-date=2016-02-12}} (NB. This volume compiles Scientia papers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 from issues 14 to 19.)

{{anchor|Moll-V2}}{{cite book |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |title=Special Integrals of Gradshteyn and Ryzhik: the Proofs |volume=II |edition=1 |series=Monographs and Research Notes in Mathematics |publisher=Chapman and Hall/CRC Press/Taylor & Francis Group, LLC |date=2015-08-24 |publication-date=2015-10-27 |isbn=978-1-4822-5653-6 |url=https://books.google.com/books?id=jSzSCgAAQBAJ&pg=PR6 |access-date=2016-02-12}} (NB. This volume compiles 14 Scientia articles from issues 20, 21, 22, 23, 25 and 26 including papers 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 and one unnumbered paper.)

{{cite journal |title=Recent Mathematical Tables 219: I. M. Ryzhik, Tablitsy Integralov, Summ, Riadov i Proizvedeniĭ, Leningrad, OGIZ, 1943 |author-first=Raymond Clare |author-last=Archibald |author-link=Raymond Clare Archibald |journal=Mathematical Tables and Other Aids to Computation |publisher=American Mathematical Society |volume=1 |number=12 |date=October 1945 |pages=442–443 |id=RMT:219 |url=https://www.ams.org/journals/mcom/1945-01-012/S0025-5718-45-99071-5/S0025-5718-45-99071-5.pdf |access-date=2016-03-04}}

{{cite journal |title=Ryžik, I. M.: Tafeln von Integralen, Summen, Reihen und Produkten. Moskau-Leningrad: Staatsverlag für technisch-theoretische Literatur, 1943 |type=list |language=de |journal=Zentralblatt für Mathematik |volume=60 |issue=1 |page=123 |date=1957-04-01 |zbl=0060.12305 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=060&count_=123 |access-date=2016-02-16}}

{{cite journal |author-first=Wolfgang |author-last=Hahn |author-link=Wolfgang Hahn |location=Berlin, Germany |title=Rydzik, I. M.: Tabellen für Integrale, Summen, Reihen und Produkte. 2. Aufl. Moskau, Leningrad: Staatsverlag für techn.-theor. Lit., 1948 |type=review |language=de |journal=Zentralblatt für Mathematik |volume=34 |issue=1/3 |page=70 |date=1950-07-05 |zbl=0034.07001 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=034&count_=070 |access-date=2016-02-16}}

{{cite journal |author-first=Karl |author-last=Prachar |author-link=Karl Prachar |title=Ryžik, I. M. und I. S. Gradštejn: Tafeln von Integralen, Summen, Reihen und Produkten. 3. umgearb. Aufl. Moskau-Leningrad: Staatsverlag für technisch-theoretische Literatur, 1951 |type=review |language=de |journal=Zentralblatt für Mathematik |volume=44 |issue=1/5 |page=133 |date=1952-09-01 |zbl=0044.13303 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=044&count_=133 |access-date=2016-02-16}}

{{cite journal |author-first=Evert Marie |author-last=Bruins |author-link=:de:Evert Marie Bruins |title=Gradšteĭn, I. S., und I. M. Ryžik: Integral-, Summen-, Reihen- und Produkttafeln. (Tablicy integralov, summ, rjadov i proizvedeniĭ) 4. Aufl. überarb. unter Mitwirkung von Ju. V. Geronimus und M. Ju. Ceĭtlin. Moskau: Staatsverlag für physikalisch-mathematische Literatur, 1962 |type=list |language=de |journal=Zentralblatt für Mathematik |volume=103 |issue=1 |page=38 |date=1964-01-02 |zbl=0103.03801 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=103&count_=038 |access-date=2016-02-16}}

{{cite book |chapter=Errata in 4th edition |author-first1=И. С. |author-last1=Градштейн |author-link1=Израиль Соломонович Градштейн |author-first2=И. М. |author-last2=Рыжик |author-link2=Иосиф Моисеевич Рыжик |editor-first1=Ю. В. |editor-last1=Геронимус |editor-link1=Юрий Венеаминович Геронимус |editor-first2=М. Ю́. |editor-last2=Цейтлин |editor-link2=Михаил Ю́льевич Цейтлин |script-title=ru:Таблицы интегралов, сумм, рядов и произведений |language=ru |edition=5 |date=1971 |publisher=Nauka (Наука) |pages=1101–1108}} (NB. The 8-page errata list in later print runs of the fourth Russian edition affected 189 table entries.)

{{cite journal |title=Reviews and Descriptions of Tables and Books 69: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln: Tables of Series, Products, and Integrals, VEB Deutscher Verlag der Wissenschaften, Berlin |author-first=John William |author-last=Wrench, Jr. |author-link=John William Wrench, Jr. |journal=Mathematics of Computation |volume=14 |number=72 |date=October 1960 |pages=381–382 |jstor=2003905 |doi=10.2307/2003905 |id=RMT:69 |url=https://www.ams.org/journals/mcom/1960-14-072/S0025-5718-60-99227-9/S0025-5718-60-99227-9.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316011319/http://www.ams.org/journals/mcom/1960-14-072/S0025-5718-60-99227-9/S0025-5718-60-99227-9.pdf |archive-date=2016-03-16}}

{{cite journal |title=Table Errata 293: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln: Tables of Series, Products, and Integrals, Deutscher Verlag der Wissenschaften, Berlin, 1957 |author-first=John William |author-last=Wrench, Jr. |author-link=John William Wrench, Jr. |journal=Mathematics of Computation |volume=14 |number=72 |date=October 1960 |pages=401–403 |jstor=2003934 |id=MTE:293 |url=https://www.ams.org/journals/mcom/1960-14-072/S0025-5718-60-99226-7/S0025-5718-60-99226-7.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316011723/http://www.ams.org/journals/mcom/1960-14-072/S0025-5718-60-99226-7/S0025-5718-60-99226-7.pdf |archive-date=2016-03-16}}

{{cite book |title=Ryshik-Gradstein: Summen-, Produkt- und Integral-Tafeln: Berichtigungen zur 1. Auflage |publisher=VEB Deutscher Verlag der Wissenschaften |location=Berlin, Germany |language=de |date=1962 |mr=175273 }} (NB. This brochure was available free of charge from the publisher on request.)

{{cite journal |title=Ryshik-Gradstein: Tafeln Summen Produkte Integrale: Berichtigungen zur 1. Auflage |series=Bulletin Bibliographique: Livres Nouveaux |journal=L'Enseignement Mathématique |language=fr, de |volume=9 |date=1963 |page=5 |url=http://retro.seals.ch/cntmng?pid=ens-001:1963:9::80 |access-date=2016-03-04 |quote=Die Berichtigung wird den Interessenten auf Anfrage kostenlos durch den Verlag geliefert.}}

{{cite journal |title=Table Errata 326: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln, Deutscher Verlag der Wissenschaften, Berlin, 1957 |author-first=Richard B. |author-last=Rodman |journal=Mathematics of Computation |volume=17 |pages=100–103 |number=81 |date=January 1963 |jstor=2003754 |id=MTE:326 |url=https://www.ams.org/journals/mcom/1963-17-081/S0025-5718-63-99185-3/S0025-5718-63-99185-3.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316013719/http://www.ams.org/journals/mcom/1963-17-081/S0025-5718-63-99185-3/S0025-5718-63-99185-3.pdf |archive-date=2016-03-16}} [https://www.ams.org/journals/mcom/1963-17-081/S0025-5718-1963-1781100-6/S0025-5718-1963-1781100-6.pdf]

{{cite journal |author-first=Glenn M. |author-last=Schmieg |title=Errata 392: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln: Tables of Series, Products, and Integrals, VEB Deutscher Verlag der Wissenschaften, Berlin, 1957 |journal=Mathematics of Computation |volume=20 |pages=468–471 |number=95 |date=July 1966 |jstor=2003630 |doi=10.2307/2003630 |id=MTE:392 |url=https://www.ams.org/journals/mcom/1966-20-095/S0025-5718-66-99916-9/S0025-5718-66-99916-9.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316013758/http://www.ams.org/journals/mcom/1966-20-095/S0025-5718-66-99916-9/S0025-5718-66-99916-9.pdf |archive-date=2016-03-16 |doi-access=free}}

{{cite journal |title=Table Errata 456: I. M. Ryshik & I. S. Gradstein, Summen-, Produkt- und Integral-Tafeln, VEB Deutscher Verlag der Wissenschaften, Berlin, 1957 |author-first=James J. |author-last=Filliben |author-link=:d:Q91689425 |journal=Mathematics of Computation |volume=24 |number=109 |date=January 1970 |pages=239–242 |jstor=2004912 |id=MTE:456 |url=https://www.ams.org/journals/mcom/1970-24-109/S0025-5718-70-99855-8/S0025-5718-70-99855-8.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316013815/http://www.ams.org/journals/mcom/1970-24-109/S0025-5718-70-99855-8/S0025-5718-70-99855-8.pdf |archive-date=2016-03-16}}

{{cite journal |title=Gradshtejn, I. S.; Ryzhik, I. M.: Summen-, Produkt- und Integraltafeln. Band 1, 2. Deutsch und englisch. Übers. aus dem Russischen auf der Basis der 5. russ. Aufl., überarb. von J. Geronimus und M. Zeitlin. Tables of series, products, and integrals. Volumes 1, 2. German and English Transl. |type=list |language=de |journal=Zentralblatt für Mathematik und ihre Grenzgebiete |volume=448 |page=395 |zbl=0448.65002 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=448&count_=395 |access-date=2016-02-16}}

{{cite journal |title=Gradshtejn, I. S.; Ryzhik, I. M.: Summen-, Produkt- und Integraltafeln. Band 1, 2. Deutsch und englisch. Übers. aus dem Russischen auf der Basis der 5. russ. Aufl., überarb. von J. Geronimus und M. Zeitlin. Tables of series, products, and integrals. Volumes 1, 2. German and English Transl. |type=list |language=de |journal=Zentralblatt für Mathematik und ihre Grenzgebiete |volume=456 |page=355 |zbl=0456.65001 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=456&count_=355 |access-date=2016-02-16}}

{{cite journal |title=Reviews and Descriptions of Tables and Books 85: Table of Integrals, Series, and Products by I. S. Gradshteyn, I. M. Ryzhik |type=review |author-first=Daniel |author-last=Shanks |author-link=Daniel Shanks |journal=Mathematics of Computation |volume=20 |number=96 |date=October 1966 |pages=616–617 |jstor=2003554 |doi=10.2307/2003554 |id=RMT:85 |url=https://www.ams.org/journals/mcom/1966-20-096/S0025-5718-66-99914-5/S0025-5718-66-99914-5.pdf |access-date=2016-03-04}}

{{cite journal |title=Table Errata 486: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Robert F. |author-last=MacKinnon |journal=Mathematics of Computation |volume=26 |number=117 |date=January 1972 |pages=305–307 |jstor=2004754 |id=MTE:486 |url=https://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0415970-6/S0025-5718-1972-0415970-6.pdf |access-date=2016-03-04 |mr=0415970 |doi=10.1090/s0025-5718-1972-0415970-6 |doi-access=free}} [https://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99109-0/S0025-5718-72-99109-0.pdf]

{{cite journal |title=Table Errata 408: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, Fourth Edition, Academic Press, New York, 1965 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=21 |number=98 |date=April 1967 |pages=293–295 |jstor=2004214 |id=MTE:408 |url=https://www.ams.org/journals/mcom/1967-21-098/S0025-5718-67-99890-0/S0025-5718-67-99890-0.pdf |access-date=2016-03-04}}

{{anchor|MTE-428}}{{cite journal |title=Table Errata 428: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, fourth edition, prepared by Yu. V. Geronimus & M. Yu. Tseytlin, Academic Press, New York, 1965 |author-first1=J. R. |author-last1=Blake |author-first2=Van E. |author-last2=Wood |author-first3=M. Lawrence |author-last3=Glasser |author-first4=Henry E. |author-last4=Fettis |author-first5=Eldon Robert |author-last5=Hansen |author-link5=Eldon Robert Hansen |author-first6=Merrell R. |author-last6=Patrick |journal=Mathematics of Computation |volume=22 |number=104 |date=October 1968 |pages=903–907 |jstor=2004606 |id=MTE:428 |mr=0239122 |url=https://www.ams.org/journals/mcom/1968-22-104/S0025-5718-1968-0239122-7/S0025-5718-1968-0239122-7.pdf |access-date=2016-03-04}} (NB. See 1972 corrigenda by Fettis and 1979 corrigenda by Anderson.)

{{cite journal |title=Table Errata 437: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first1=Murlan S. |author-last1=Corrington |author-first2=Henry E. |author-last2=Fettis |journal=Mathematics of Computation |volume=23 |number=106 |date=April 1969 |pages=467–472 |jstor=2004471 |url=https://www.ams.org/journals/mcom/1969-23-106/S0025-5718-1969-0415966-4/S0025-5718-1969-0415966-4.pdf |access-date=2016-03-04 |mr=0415966}} [https://www.ams.org/journals/mcom/1969-23-106/S0025-5718-69-99643-4/S0025-5718-69-99643-4.pdf] [https://www.ams.org/journals/mcom/1969-23-106/S0025-5718-1969-0415967-6/S0025-5718-1969-0415967-6.pdf]

{{cite journal |title=Table Errata 446: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, 4th edition, Academic Press, New York, 1965 |author-first=Lee C. |author-last=Bradley |journal=Mathematics of Computation |volume=23 |number=108 |date=October 1969 |pages=891–892, s15–s17 |jstor=2004993 |id=MTE:446 |url=https://www.ams.org/journals/mcom/1969-23-108/S0025-5718-1969-0415968-8/S0025-5718-1969-0415968-8.pdf |access-date=2016-03-04 |mr=0415968 |doi=10.1090/s0025-5718-1969-0415968-8 |doi-access=free}} [https://www.ams.org/journals/mcom/1969-23-108/S0025-5718-69-99640-9/S0025-5718-69-99640-9.pdf]

{{cite journal |title=Table Errata 451: A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Tables of Integral Transforms, McGraw-Hill Book Co., New York, 1954 |author-first=A. T. |author-last=Young |journal=Mathematics of Computation |volume=24 |pages=239–242 |number=109 |date=January 1970 |jstor=2004912 |id=MTE:451 |mr=0257656 |url=https://www.ams.org/journals/mcom/1970-24-109/S0025-5718-1970-0257656-5/S0025-5718-1970-0257656-5.pdf

|access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316124458/http://www.ams.org/journals/mcom/1970-24-109/S0025-5718-1970-0257656-5/S0025-5718-1970-0257656-5.pdf |archive-date=2016-03-16 |doi=10.2307/2004614 |doi-access=free}} [https://www.ams.org/journals/mcom/1970-24-109/S0025-5718-70-99855-8/S0025-5718-70-99855-8.pdf] (NB. The error also affects entry 3.252.10 on page 297 in GR.)

{{cite journal |title=Table Errata 473: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, 4th ed., Academic Press, New York, 1965 |author-first1=Carl W. |author-last1=Muhlhausen |author-first2=Daniel D. |author-last2=Konowalow |journal=Mathematics of Computation |volume=25 |number=113 |date=January 1971 |pages=199–201 |jstor=2005156 |id=MTE:473 |url=https://www.ams.org/journals/mcom/1971-25-113/S0025-5718-71-99721-3/S0025-5718-71-99721-3.pdf |access-date=2016-03-04 |mr=0415969}} [https://www.ams.org/journals/mcom/1971-25-113/S0025-5718-71-99721-3/S0025-5718-71-99721-3.pdf]

{{cite journal |title=Table Errata 492: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=John C. |author-last=Nash |journal=Mathematics of Computation |volume=26 |number=118 |date=April 1972 |pages=597–599 |jstor=2005198 |id=MTE:492 |url=https://www.ams.org/journals/mcom/1972-26-118/S0025-5718-1972-0415971-8/S0025-5718-1972-0415971-8.pdf |access-date=2016-03-04 |mr=0415971}} [https://www.ams.org/journals/mcom/1972-26-118/S0025-5718-72-99106-5/S0025-5718-72-99106-5.pdf]

{{anchor|Fettis-1}}{{cite journal |title=Corrigendum: MTE 428, Math. Comp., v.22, 1968, pp. 903–907 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=26 |pages=601 |number=118 |date=April 1972 |jstor=2005199 |doi=10.2307/2005199 |url=https://www.ams.org/journals/mcom/1972-26-118/S0025-5718-1972-0415973-1/S0025-5718-1972-0415973-1.pdf |access-date=2016-03-04 |mr=0415973}} [https://www.ams.org/journals/mcom/1972-26-118/S0025-5718-72-99105-3/S0025-5718-72-99105-3.pdf] (NB. This corrigenda applies to MTE 428.)

{{anchor|MTE-503}}{{cite journal |title=Table Errata 503: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first1=Akin |author-last1=Ojo |author-first2=J. |author-last2=Sadiku |journal=Mathematics of Computation |volume=27 |number=122 |date=April 1973 |pages=451–452 |jstor=2005649 |mr=0415972 |id=MTE:503 |url=https://www.ams.org/journals/mcom/1973-27-122/S0025-5718-1973-0415972-0/S0025-5718-1973-0415972-0.pdf |access-date=2016-03-04 |doi=10.1090/s0025-5718-1973-0415972-0 |doi-access=free}} [https://www.ams.org/journals/mcom/1973-27-122/S0025-5718-73-99702-0/S0025-5718-73-99702-0.pdf] (NB. See 1982 corrigenda by Fettis.)

{{anchor|Fettis-2}}{{cite journal |title=Corrigenda: Ojo, Akin; Sadiku, J. (1973). Table Errata 503: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=38 |pages=657 |number=158 |date=April 1982 |mr=645681 |jstor=2007312 |url=https://www.ams.org/journals/mcom/1982-38-158/S0025-5718-1982-0645681-X/S0025-5718-1982-0645681-X.pdf |access-date=2016-03-14 |doi=10.1090/S0025-5718-1982-0645681-X |doi-access=free}} (NB. This corrigenda applies to MTE 503.)

{{cite journal |title=Table Errata 528: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Ann |author-last=Scherzinger |journal=Mathematics of Computation |volume=30 |pages=899 |number=136 |date=October 1976 |jstor=2005420 |id=MTE:528 |url=https://www.ams.org/journals/mcom/1976-30-136/S0025-5718-1976-0408192-X/S0025-5718-1976-0408192-X.pdf |access-date=2016-03-04 |mr=0408192 |doi=10.1090/s0025-5718-1976-0408192-x |doi-access=free}} [https://www.ams.org/journals/mcom/1976-30-136/S0025-5718-76-99660-5/S0025-5718-76-99660-5.pdf]

{{cite journal |title=Table Errata 534: I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series and Products, 4th ed., Academic Press, New York, 1965 |author-first=Alistair R. |author-last=Carr |journal=Mathematics of Computation |volume=31 |number=138 |date=April 1977 |pages=614–616 |jstor=2006446 |id=MTE:534 |url=https://www.ams.org/journals/mcom/1977-31-138/S0025-5718-1977-0428676-9/S0025-5718-1977-0428676-9.pdf |access-date=2016-03-04 |mr=0428676 |doi=10.1090/s0025-5718-1977-0428676-9 |doi-access=free}} [https://www.ams.org/journals/mcom/1977-31-138/S0025-5718-77-99994-X/S0025-5718-77-99994-X.pdf]

{{cite journal |title=Table Errata 550: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Neville I. |author-last=Robinson |journal=Mathematics of Computation |volume=32 |number=141 |date=January 1978 |pages=317–320 |jstor=2006287 |id=MTE:550 |mr=0478539 |url=https://www.ams.org/journals/mcom/1978-32-141/S0025-5718-1978-0478539-9/S0025-5718-1978-0478539-9.pdf |access-date=2016-03-04}} [https://www.ams.org/journals/mcom/1978-32-141/S0025-5718-78-99984-2/S0025-5718-78-99984-2.pdf]

{{cite journal |title=Table Errata 557: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=33 |number=145 |date=January 1979 |pages=430–431 |jstor=2006060 |id=MTE:557 |url=https://www.ams.org/journals/mcom/1979-33-145/S0025-5718-79-99976-9/S0025-5718-79-99976-9.pdf |access-date=2016-03-04}}

{{anchor|Anderson-1}}{{cite journal |title=Corrigenda: p. 906 of MTE 428. I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965. |author-first=Michael |author-last=Anderson |journal=Mathematics of Computation |volume=33 |number=145 |date=January 1979 |pages=432–433 |jstor=2006061 |doi=10.2307/2006061 |url=https://www.ams.org/journals/mcom/1979-33-145/S0025-5718-79-99975-7/S0025-5718-79-99975-7.pdf |access-date=2016-03-04}} (NB. This corrigenda applies to MTE 428.)

{{cite journal |title=Table Errata 564: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=John Ross |author-last=McGregor |journal=Mathematics of Computation |volume=33 |number=146 |date=April 1979 |pages=845–846 |jstor=2006322 |id=MTE:564 |url=https://www.ams.org/journals/mcom/1979-33-146/S0025-5718-79-99973-3/S0025-5718-79-99973-3.pdf |access-date=2016-03-04}}

{{cite journal |title=Table Errata 565: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=David T. |author-last=Birtwistle |journal=Mathematics of Computation |volume=33 |pages=1377 |number=148 |date=October 1979 |jstor=2006476 |id=MTE:565 |url=https://www.ams.org/journals/mcom/1979-33-148/S0025-5718-79-99969-1/S0025-5718-79-99969-1.pdf |access-date=2016-03-04}}

{{cite journal |title=Table Errata 572: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Jason A. Carlson |author-last=Gallas |journal=Mathematics of Computation |volume=35 |pages=1444 |number=152 |date=October 1980 |jstor=2006418 |id=MTE:572 |mr=583522 |doi=10.1090/S0025-5718-1980-0583522-8 |url=https://www.ams.org/journals/mcom/1980-35-152/S0025-5718-1980-0583522-8/S0025-5718-1980-0583522-8.pdf |access-date=2016-03-04 |doi-access=free}} [https://www.ams.org/journals/mcom/1980-35-152/S0025-5718-80-99959-7/S0025-5718-80-99959-7.pdf] [https://www.ams.org/journals/mcom/1980-35-152/S0025-5718-1980-0583523-X/S0025-5718-1980-0583523-X.pdf]

{{cite journal |author-first=Yudell Leo |author-last=Luke |author-link=Yudell Leo Luke |title=Reviews and Descriptions of Tables and Books 5: I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, Academic Press, New York, 1980 |type=review |journal=Mathematics of Computation |volume=36 |number=153 |date=January 1981 |pages=310–314 |doi=10.2307/2007757 |id=MSC:7.95,7.100 |jstor=2007757 |url=https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-81-99782-9/S0025-5718-81-99782-9.pdf |access-date=2016-03-04}}

{{cite journal |author-first=Frank J. |author-last=Papp |title=Gradshteyn, I. S.; Ryzhik, I. M.: Tables of integrals, series, and products. Corr. and enl. ed. by Alan Jeffrey. Incorporating the 4th ed. by Yu. V. Geronimus and M. Yu. Tseytlin (M. Yu. Tsejtlin). Transl. from the Russian – New York – London – Toronto. Volumes 1, 2. German and English Transl. |type=review |journal=Zentralblatt für Mathematik und ihre Grenzgebiete |volume=521 |page=193 |zbl=0521.33001 |mr=582453 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=521&count_=193 |access-date=2016-02-16}}

{{cite journal |title=Table Errata 577: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=36 |number=153 |date=January 1981 |pages=317–318 |jstor=2007758 |id=MTE:577 |mr=595074 |doi=10.1090/S0025-5718-1981-0595074-8 |url=https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-1981-0595074-8/S0025-5718-1981-0595074-8.pdf |access-date=2016-03-04 |doi-access=free}}

{{anchor|MTE-582}}{{cite journal |title=Table Errata 582: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=36 |pages=315–320 |number=153 |date=January 1981 |jstor=2007758 |id=MTE:582 |mr=595074 |url=https://www.ams.org/journals/mcom/1981-36-153/S0025-5718-1981-0595074-8/S0025-5718-1981-0595074-8.pdf |access-date=2016-03-04 |url-status=live |archive-url=https://web.archive.org/web/20160316145212/http://www.ams.org/journals/mcom/1981-36-153/S0025-5718-1981-0595074-8/S0025-5718-1981-0595074-8.pdf |archive-date=2016-03-16}} (NB. See 1982 corrigenda by Fettis.)

{{anchor|Fettis-3}}{{cite journal |title=Corrigenda: Fettis, Henry E. (1981). Table Errata 582: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965 |author-first=Henry E. |author-last=Fettis |journal=Mathematics of Computation |volume=38 |pages=337 |number=157 |date=January 1982 |mr=637313 |jstor=2007492 |doi=10.1090/S0025-5718-1982-0637313-1 |url=https://www.ams.org/journals/mcom/1982-38-157/S0025-5718-1982-0637313-1/S0025-5718-1982-0637313-1.pdf |access-date=2016-03-16 |url-status=live |archive-url=https://web.archive.org/web/20160316144428/http://www.ams.org/journals/mcom/1982-38-157/S0025-5718-1982-0637313-1/S0025-5718-1982-0637313-1.pdf |archive-date=2016-03-16 |doi-access=free}} (NB. This corrigenda applies to MTE 582.)

{{cite journal |author-first1=Hendrik |author-last1=van Haeringen |author-first2=Lambrecht P. |author-last2=Kok |author-link2=:d:Q102331892 |title=Table Errata 589: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, Corrected and enlarged edition, Academic Press, New York, First printing, 1980 |journal=Mathematics of Computation |volume=39 |number=160 |pages=747–757 |date=October 1982 |jstor=2007357 |mr=669666 |id=MTE:589 |doi=10.1090/S0025-5718-1982-0669666-2 |url=https://www.ams.org/journals/mcom/1982-39-160/S0025-5718-1982-0669666-2/S0025-5718-1982-0669666-2.pdf |access-date=2016-02-22 |doi-access=free}} [https://www.ams.org/journals/mcom/1982-39-160/S0025-5718-82-99823-4/S0025-5718-82-99823-4.pdf] [https://www.ams.org/journals/mcom/1982-39-160/S0025-5718-1982-0669665-0/S0025-5718-1982-0669665-0.pdf]

{{cite journal |author-first1=Hendrik |author-last1=van Haeringen |author-first2=Lambrecht P. |author-last2=Kok |author-link2=:d:Q102331892 |title=I. S. Gradshteyn & I. M. Ryzhik, Tables of integrals, series, and products. Math. comput. 39, 747–757 (1982) |type=review |journal=Zentralblatt für Mathematik und ihre Grenzgebiete |volume=521 |page=193 |zbl=0521.33002 |url=http://www.zentralblatt-math.org/zmath/scans.html?volume_=521&count_=193 |access-date=2016-02-16}}

{{cite journal |author-first1=Henry E. |author-last1=Fettis |author-first2=Emeric |author-last2=Deutsch |author-first3=Ernst D. |author-last3=Krupnikov |title=Table Errata 601: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series and Products, Corrected and enlarged edition, Academic Press, New York, First Printing, 1980 |journal=Mathematics of Computation |volume=41 |number=164 |pages=780–783 |date=October 1983 |id=MTE:601 |jstor=2007718 |mr=717727 |url=https://www.ams.org/journals/mcom/1983-41-164/S0025-5718-1983-0717727-2/S0025-5718-1983-0717727-2.pdf |access-date=2016-03-04|doi=10.1090/S0025-5718-1983-0717727-2 |doi-access=free}} [https://www.ams.org/journals/mcom/1983-41-164/S0025-5718-83-99812-5/S0025-5718-83-99812-5.pdf]

{{cite journal |author-first=György |author-last=Solt |title=Table Errata 607: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, corrected and enlarged edition prepared by A. Jeffrey, Academic Press, New York, 1980 |journal=Mathematics of Computation |volume=47 |pages=767–768 |number=176 |jstor=2008202 |date=October 1986 |mr=856719 |id=MTE:607. |doi=10.1090/S0025-5718-1986-0856719-2 |url=https://www.ams.org/journals/mcom/1986-47-176/S0025-5718-1986-0856719-2/S0025-5718-1986-0856719-2.pdf |access-date=2016-03-03 |doi-access=free}}

{{cite web |title=Errors in the Integral Tables of Gradshteyn and Ryzhik with Correct Results from Mathematica |work=Mathematica Information Centre / Wolfram Library Archive: Technical Notes |publisher=Wolfram Research, Inc. |location=Champaign, IL, USA |date=2004 |orig-date=2003 |url=http://library.wolfram.com/infocenter/TechNotes/4196/ |access-date=2016-02-16 |url-status=live |archive-url=https://web.archive.org/web/20030425211208/http://library.wolfram.com/infocenter/TechNotes/4196/ |archive-date=2003-04-25}}

{{cite web |title=Errors in the Integral Tables of Gradshteyn and Ryzhik with Correct Results from Mathematica |publisher=Wolfram Research, Inc. |location=Champaign, IL, USA |type=Technical note |url=http://library.wolfram.com/infocenter/TechNotes/4196/GradshteynRyzhik.txt |date=2004 |orig-date=2003 |access-date=2016-03-04 |url-status=live |archive-url=https://web.archive.org/web/20040619185253/http://library.wolfram.com/infocenter/TechNotes/4196/GradshteynRyzhik.txt |archive-date=2004-06-19}}

{{cite journal |author-first=Kurt Siegfried |author-last=Kölbig |title=Reviews and Descriptions of Tables and Books 1: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Alan Jeffrey, ed.), Academic Press, Boston, 1994 |journal=Mathematics of Computation |volume=64 |issue=209 |date=January 1995 |pages=439–441 |id=MSC:00A22,33-00,44-00,65-00 |jstor=2153347 |doi=10.2307/2153347 |url=https://www.ams.org/journals/mcom/1995-64-209/S0025-5718-95-99727-0/S0025-5718-95-99727-0.pdf |access-date=2016-03-03}}

{{cite journal |title=Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Transl. from the Russian by Scripta Technica, Inc. 5th ed. Boston, MA: Academic Press, Inc. (1994) |journal=Zentralblatt MATH |year=1994 |isbn=9780122947551 |zbl=0918.65002 |url=http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0918.65002 |access-date=2016-02-16}}

{{cite journal |title=Table of integrals, series, and products. Ed. by Alan Jeffrey. CD-ROM version 1.0 for PC, MAC, and UNIX computers. 5th ed. (English) San Diego, CA: Academic Press (1996) |journal=Zentralblatt MATH |year=1996 |isbn=9780122947568 |zbl=0918.65001 |url=http://zbmath.org/?q=an:0918.65001 |access-date=2016-02-16}}

{{cite web |author-first=Kurt Siegfried |author-last=Kölbig |title=Corrigenda: I. S. Gradshteyn & I. M. Ryzhik; Table of Integrals, Series, and Products, Fifth edition, Academic Press, Boston |date=June 1996 |orig-date=1995 |publisher=CERN Computing and Networks Division |id=CN/95/15 |url=http://cdsweb.cern.ch/record/291467/files/cn-95-15.pdf |access-date=2016-02-12}}

{{cite journal |author-first=Kurt Siegfried |author-last=Kölbig |title=Table errata 617: I. S. Gradshteyn & I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Alan Jeffrey, ed.), Academic Press, Boston, 1994 |journal=Mathematics of Computation |volume=64 |issue=209 |date=January 1995 |pages=449–460 |jstor=2153354 |mr=1270626 |id=MTE:617. |doi=10.1090/S0025-5718-1995-1270626-0 |url=https://www.ams.org/journals/mcom/1995-64-209/S0025-5718-1995-1270626-0/S0025-5718-1995-1270626-0.pdf |access-date=2016-03-03 |doi-access=free}} [https://www.ams.org/journals/mcom/1995-64-209/S0025-5718-95-99726-9/S0025-5718-95-99726-9.pdf]

{{cite journal |title=Table Errata 628 |author-first=Adeline |author-last=Lambert |journal=Mathematics of Computation |volume=66 |pages=463 |number=217 |date=January 1997 |jstor=2153671 |mr=1388890 |id=MTE:628}}{{cite journal |author-first=George |author-last=Fikioris |title=Table Errata 634 |journal=Mathematics of Computation |volume=67 |number=224 |date=October 1998 |pages=1753–1754 |mr=1625064 |jstor=2584882 |id=MTE:634. MSC:00A22,33-00,65-00.}}

{{cite journal |author-first=Sarukkai Krishnamachari |author-last=Rangarajan |title=Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger. 6th ed. San Diego, CA: Academic Press |journal=Zentralblatt MATH |date= |isbn=9780122947575 |zbl=0981.65001 |url=http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0981.65001 |access-date=2016-02-16}}

{{cite journal |title=Table Errata 636 |journal=Mathematics of Computation |volume=71 |number=239 |date=July 2002 |pages=1335–1336 |jstor=2698918 |id=MTE:636.}}

{{cite journal |title=Table Errata 637 |journal=Mathematics of Computation |volume=71 |number=239 |date=July 2002 |pages=1335–1336 |jstor=2698918 |id=MTE:637.}}

{{anchor|Errata-EN-6}}{{cite web |author-first1=Daniel |author-last1=Zwillinger |author-first2=Alan |author-last2=Jeffrey |title=Errata for Tables of Integrals, Series, and Products, 6th edition by I. S. Gradshteyn and M. Ryzhik edited by Alan Jeffrey and Daniel Zwillinger, Academic Press, Orlando, Florida, 2000, ISBN 0-12-294757-6 |date=2005-11-10 |url=http://www.mathtable.com/errata/gr6_errata.pdf |access-date=2016-03-08 |url-status=live |archive-url=https://web.archive.org/web/20160308003149/http://www.mathtable.com/errata/gr6_errata.pdf |archive-date=2016-03-08}} (NB. This list of 64 pages has 398 entries. According to Daniel Zwillinger it is incomplete.)

{{cite journal |title=Gradshteyn, I. S.; Ryzhik, I. M. Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger. With one CD-ROM (Windows, Macintosh and UNIX). 7th ed. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-373637-6). |journal=Zentralblatt MATH |date= |isbn=9780123736376 |zbl=1208.65001 |url=http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1208.65001 |access-date=2016-02-16}}

{{cite web |author-first1=Daniel |author-last1=Zwillinger |author-first2=Alan |author-last2=Jeffrey |title=Errata for Tables of Integrals, Series, and Products (7th edition) by I. S. Gradshteyn and M. Ryzhik edited by Alan Jeffrey and Daniel Zwillinger, Academic Press, Orlando, Florida, 2007, ISBN 0-12-373637-4 |date=2008-04-11 |url=http://www.mathtable.com/errata/gr7_errata.pdf |access-date=2016-03-08 |url-status=live |archive-url=https://web.archive.org/web/20160308003103/http://www.mathtable.com/errata/gr7_errata.pdf |archive-date=2016-03-08}} (NB. This list of 7 pages has 42 entries. According to Daniel Zwillinger it is incomplete.)

{{cite journal |author-first=Dirk |author-last=Veestraeten |title=Some remarks, generalizations and misprints in the integrals in Gradshteyn and Ryzhik |journal=Scientia |series=Series A: Mathematical Sciences |publisher=Universidad Tecnica Federico Santa Marıa |publication-place=Valparaıso, Chile |location=Amsterdam, Netherlands |issn=0716-8446 |volume=26 |date=2015-07-24 |orig-date=2015-06-21 |s2cid=124124467 |pages=115–131 |url=https://www.researchgate.net/publication/281287335 |access-date=2021-12-26 |url-status=live |archive-url=https://web.archive.org/web/20211226111824/https://www.researchgate.net/profile/Dirk-Veestraeten-2/publication/281287335_Some_remarks_generalizations_and_misprints_in_the_integrals_in_Gradshteyn_and_Ryzhik/links/55dfb5c208aecb1a7cc1a542/Some-remarks-generalizations-and-misprints-in-the-integrals-in-Gradshteyn-and-Ryzhik.pdf |archive-date=2021-12-26}} (18 pages)

{{cite web |author-first1=Daniel |author-last1=Zwillinger |author-first2=Victor Hugo |author-last2=Moll |author-link2=Victor Hugo Moll |title=Errata for Tables of Integrals, Series, and Products (8th edition) by I. S. Gradshteyn and M. Ryzhik edited by Daniel Zwillinger and Victor Moll, Academic Press, 2014, ISBN 0-12-384933-0 |edition=6 |date=2021-04-23 |orig-date=2014-10-06 |url=http://www.mathtable.com/errata/gr8_errata.pdf |access-date=2021-12-26 |url-status=live |archive-url=https://web.archive.org/web/20210425192358/http://www.mathtable.com/errata/gr8_errata.pdf |archive-date=2021-04-25}} (NB. This list of 33 pages has 191 entries.)

{{cite web |title=Alexis De Vos |author-first=Alexis |author-last=De Vos |date=2020-11-09 |orig-date=2009-03-19 |location=Universiteit Gent, Belgium |url=https://users.elis.ugent.be/~aldevos/ |access-date=2022-01-12 |url-status=live |archive-url=https://web.archive.org/web/20210613094908/https://users.elis.ugent.be/~aldevos/ |archive-date=2021-06-13 |quote=[…] Finally, he is the proud discoverer of an error in equation 3.454.1 of the Gradshteyn and Ryzhik "Tables of integrals, series, and products". See errata for 6th edition by Alan Jeffrey and Daniel Zwillinger, pages 1 and 19. The error is now corrected in the 7th edition page 363 (with acknowledgement in page xxvi). […]}}

{{cite journal |script-title=ru:Об Исааке Моисеевиче Ягломе |language=ru |trans-title=About Isaac Moiseevich Yaglom |author-first=Boris Abramowitsch (Борис Абрамович) |author-last=Rosenfeld (Розенфельд) |title=Math.ru |author-link=:de:Boris Abramowitsch Rosenfeld |journal=Мат. просвещение (Mat. enlightenment) |date=2003 |pages=25-28 |via=math.ru |url=https://math.ru/history/people/Yaglom_IM |access-date=2022-01-12 |url-status=live |archive-url=https://web.archive.org/web/20220112224247/https://math.ru/history/people/Yaglom_IM |archive-date=2022-01-12 |script-quote=ru:[…] во время антисемитской кампании, известной как «борьба с космополитизмом», был уволен вместе с И.М. Гельфандом и И. С. Градштейном […] |trans-quote=during the antisemitic campaign known as the "fight against cosmopolitanism", he was fired along with I. M. Gelfand and I. S. Gradstein.}}

{{cite web |title=Errors in Gradshteyn and Ryzhik, 5th ed. |author-first=Dan L. |author-last=Ruderman |date=2001-01-22 |url=http://www.cnl.salk.edu/~ruderman/gr.html |url-status=dead |archive-url=https://web.archive.org/web/20070218053512/http://www.cnl.salk.edu/~ruderman/gr.html |archive-date=2007-02-18 |quote=3.381.3, 3.411.6, 3.721.3, 3.761.2, 3.761.9, 3.897.1, 6.561.13, 8.350.2}}

{{cite news |title=4. Table of Integrals, Series, and Products, CD-ROM Version 1.0 Edited by Alan Jeffrey |author-first=Marvin |author-last=Rosenblum |editor-first=Wolfram |editor-last=Koepf |department=Books and Journals: Review |newspaper=Orthogonal Polynomials and Special Functions |publisher=SIAM Activity Group on Orthogonal Polynomials and Special Functions |date=October 1996 |volume=7 |number=1 |pages=11–12 |url=http://www.mathematik.uni-kassel.de/~koepf/Siamnews/7-1.pdf |access-date=2022-01-23 |url-status=live |archive-url=https://web.archive.org/web/20220120084643/http://www.mathematik.uni-kassel.de/~koepf/Siamnews/7-1.pdf |archive-date=2022-01-20}}

{{cite news |title=Tables of Integrals, Series and Products By I. S. Gradshteyn and I. M. Ryzhik, edited by Alan Jeffrey |author-first=Jet |author-last=Wimp |newspaper=American Mathematical Monthly |date=April 1997}}

{{cite news |title=2. Tables of Integrals, Series and Products By I. S. Gradshteyn and I. M. Ryzhik, edited by Alan Jeffrey |newspaper=Orthogonal Polynomials and Special Functions |publisher=SIAM Activity Group on Orthogonal Polynomials and Special Functions |department=Books and Journals: Reviews |date=October 1997 |orig-date=1997-09-30 |author-first=Jet |author-last=Wimp |editor-first=Wolfram |editor-last=Koepf |volume=8 |number=1 |pages=13–16 |url=http://www.mathematik.uni-kassel.de/~koepf/Siamnews/8-1.pdf |access-date=2022-01-23 |url-status=live |archive-url=https://web.archive.org/web/20220120103759/http://www.mathematik.uni-kassel.de/~koepf/Siamnews/8-1.pdf |archive-date=2022-01-20}}

}}

• {{cite web |author-first=Daniel |author-last=Zwillinger |title=Gradshteyn and Ryzhik: Table of Integrals, Series, and Products (Home Page) |url=http://www.mathtable.com/gr/ |access-date=2016-03-08 |url-status=live |archive-url=https://web.archive.org/web/20160308002609/http://www.mathtable.com/gr/ |archive-date=2016-03-08}}
• {{cite web |author-first=Victor Hugo |author-last=Moll |author-link=Victor Hugo Moll |title=List with the formulas and proofs in GR |url=http://www.math.tulane.edu/~vhm/Table.html |access-date=2016-03-08 |url-status=live |archive-url=https://web.archive.org/web/20100109035110/http://www.math.tulane.edu/~vhm/Table.html |archive-date=2010-01-09}}
• {{cite web |title=SCIENTIA, Series A: Mathematical Sciences – Official Journal of the Universidad Técnica Federico Santa María

|publisher=Universidad Técnica Federico Santa María (UTFSM) |url=http://www.mat.utfsm.cl/scientia/ |access-date=2016-03-08}}

• {{cite web |title=One of my most cherished things, a tool so useful and powerful that I honesty have come to look at it as a friend: Table of Integrals, Series, and Products |author-first=Jonathan "Seamus" |author-last=Blackley |author-link=Seamus Blackley |work=twitter |date=2021-06-12 |orig-date=2021-06-11 |url=https://twitter.com/SeamusBlackley/status/1403516831986454529 |access-date=2022-01-12 |url-status=live |archive-url=https://web.archive.org/web/20210911061906/https://twitter.com/SeamusBlackley/status/1403516831986454529 |archive-date=2021-09-11}}

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