A product formula for the continuous q-Jacobi polynomials
type: Item
instance of: scholarly article
title: A product formula for the continuous q-Jacobi polynomials
zbMATH Open document ID: 0589.33009
DOI: 10.1016/0022-247X(86)90265-9
author: Mizan Rahman
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The Jacobi polynomials are one of the most general sets of the classical orthogonal polynomials. Several basic analogues of these polynomials have been discussed, in particular by \textit{R. Askey} and \textit{J. Wilson} [Mem. Am. Math. Soc. 319, 55 p. (1985; Zbl 0572.33012)]. The q-Wilson polynomials are a generalization of the q-Jacobi polynomials, for which \textit{G. Gasper} and \textit{M. Rahman} have given a product formula [SIAM J. Math. Anal. (to appear)]. By suitably specializing the parameters of this product formula and the use of various transformations of q- hypergeometric seris and integrals, a number of results relating to q- Jacobi polynomials are obtained.
reviewed by: H. Exton
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3946637
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: q-Wilson polynomials
zbMATH Keywords: q-Jacobi polynomials
MaRDI profile type: Publication
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full work available at URL: 0022-247x(86)90265-9
OpenAlex ID: W2033073743
description: scientific article; zbMATH DE number 3946637