q-beta integrals and the q-Hermite polynomials
type: Item
instance of: scholarly article
title: q-beta integrals and the q-Hermite polynomials
zbMATH Open document ID: 0658.33002
author: Mourad E. H. Ismail
author: Waleed A. Al-Salam
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: The continuous q-Hermite polynomials are used to give a new proof of a q- beta integral which is an extension of the Askey-Wilson integral. Multilinear generating functions, some due to Carlitz, are also established.
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 4075539
zbMATH Keywords: q-Hermite polynomials
zbMATH Keywords: q-beta integral
zbMATH Keywords: Askey-Wilson integral
MaRDI profile type: Publication
full work available at URL: pjm.1988.135.209
OpenAlex ID: W2021880393
DOI: 10.2140/PJM.1988.135.209
description: scientific article; zbMATH DE number 4075539