Gottlieb polynomials

{{Short description|Number group/set}}

{{Orphan|date=July 2022}}

In mathematics, Gottlieb polynomials are a family of discrete orthogonal polynomials given by

:$\backslash displaystyle\; \backslash ell\_n(x,\backslash lambda)\; =\; e^\{-n\backslash lambda\}\backslash sum\_k(1-e^\backslash lambda)^k\backslash binom\{n\}\{k\}\backslash binom\{x\}\{k\}\; =e^\{-n\backslash lambda\}\{\}\_2F\_1(-n,-x;1;1-e^\backslash lambda)$

{{cite journal| last1=Gottlieb | first1=M. J. | year=1938 | title=Concerning some polynomials orthogonal on a finite or enumerable set of points. | journal=American Journal of Mathematics | issn=0002-9327 | volume=60 | issue=2 | pages=453–458 | doi=10.2307/2371307 | jfm=64.0329.01 | jstor=2371307 }}