Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral
type: Item
instance of: scholarly article
title: Bailey's well-poised \(_{6}\psi _{6}\)-series implies the Askey-Wilson integral
zbMATH Open document ID: 1236.33033
published in: Journal of Combinatorial Theory. Series A
publication date: 2011-01-07T00:00:00Z
review text: The Askey-Wilson \(q\)-beta integrals play a fundamental role in the theory of orthogonal polynomials. In this paper the authors show that those integrals can be obtained in a shorter and straightforward way from the Bailey's fundamental identity of bilateral well-poised \({}_6\psi_6\)-series. An extension to more general \(q-\)beta integrals is also given.
reviewed by: Renato Álvarez-Nodarse
Mathematics Subject Classification ID: 33D45
zbMATH DE Number: 5834018
zbMATH Keywords: Askey-Wilson q-beta integral
zbMATH Keywords: well-poised \({}_6\psi_6\)-series
author: Wenchang Chu
author: Xinrong Ma
MaRDI profile type: Publication
full work available at URL: j.jcta.2009.10.011
OpenAlex ID: W2054329545
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DOI: 10.1016/J.JCTA.2009.10.011
description: scientific article; zbMATH DE number 5834018