Sieved Pollaczek polynomials

In mathematics, sieved Pollaczek polynomials are a family of sieved orthogonal polynomials, introduced by Ismail (1985). ^[1] Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Pollaczek polynomials.

References

1. 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

Further reading

• 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