Sieved Pollaczek polynomials

In mathematics, sieved Pollaczek polynomials are a family of sieved orthogonal polynomials, introduced by Ismail (1985). Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Pollaczek polynomials.

References

• Al-Salam, Waleed; Allaway, W. R.; Askey, Richard (1984), "Sieved ultraspherical polynomials", Transactions of the American Mathematical Society, 284 (1): 39–55, doi:10.2307/1999273, ISSN 0002-9947, JSTOR 1999273, MR 0742411
• Askey, Richard (1984), "Orthogonal polynomials old and new, and some combinatorial connections", in Jackson, David M.; Vanstone, Scott A. (eds.), Enumeration and design (Waterloo, Ont., 1982), Boston, MA: Academic Press, pp. 67–84, ISBN 978-0-12-379120-7, MR 0782309
• Ismail, Mourad E. H. (1985), "On sieved orthogonal polynomials. I. Symmetric Pollaczek analogues", SIAM Journal on Mathematical Analysis, 16 (5): 1093–1113, doi:10.1137/0516081, ISSN 0036-1410, MR 0800799