sieved Jacobi polynomials

In mathematics, sieved Jacobi polynomials are a family of sieved orthogonal polynomials, introduced by {{harvtxt|Askey|1984}}. Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Jacobi polynomials.

References

{{Citation | last1=Al-Salam | first1=Waleed | last2=Allaway | first2=W. R. | last3=Askey | first3=Richard | authorlink3=Richard Askey| title=Sieved ultraspherical polynomials | doi=10.2307/1999273 | mr=742411 | year=1984 | journal=Transactions of the American Mathematical Society | issn=0002-9947 | volume=284 | issue=1 | pages=39–55| jstor=1999273 | doi-access=free }}
{{Citation | last1=Askey | first1=Richard | editor1-last=Jackson | editor1-first=David M. | editor2-last=Vanstone | editor2-first=Scott A. | title=Enumeration and design (Waterloo, Ont., 1982) | chapter-url=https://books.google.com/books?id=Pg-FAAAAIAAJ | publisher=Academic Press | location=Boston, MA | isbn=978-0-12-379120-7 | mr=782309 | year=1984 | chapter=Orthogonal polynomials old and new, and some combinatorial connections | pages=[https://archive.org/details/enumerationdesig00jack/page/67 67–84] | url-access=registration | url=https://archive.org/details/enumerationdesig00jack/page/67 }}