Sieved Jacobi polynomials

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