A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials-Reference-Cited by-同舟云学术

A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials

Published:2015-01-22 Issue:5 Volume:143 Page:2003-2015
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Guo Victor,Ishikawa Masao,Tagawa Hiroyuki,Zeng Jiang

Abstract

We prove a general quadratic formula for basic hypergeometric series, from which simple proofs of several recent determinant and Pfaffian formulas are obtained. A special case of the quadratic formula is actually related to a Gram determinant formula for Askey-Wilson polynomials. We also show how to derive a recent double-sum formula for the moments of Askey-Wilson polynomials from Newton’s interpolation formula.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2015-143-05/S0002-9939-2015-12099-0/S0002-9939-2015-12099-0.pdf

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