Sieved Pollaczek polynomials

In mathematics, '''sieved Pollaczek polynomials''' are a family of sieved orthogonal polynomials, introduced by {{harvtxt|Ismail|1985}}.<ref>{{Citation |last1=Ismail |first1=Mourad E. H. |title=On sieved orthogonal polynomials. I. Symmetric Pollaczek analogues |journal=SIAM Journal on Mathematical Analysis |volume=16 |issue=5 |pages=1093–1113 |year=1985 |doi=10.1137/0516081 |issn=0036-1410 |mr=800799}}</ref> Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Pollaczek polynomials.

==References== <references />

== Further reading == *{{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 }}

Category:Orthogonal polynomials