A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations
type: Item
instance of: scholarly article
title: A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations
zbMATH Open document ID: 0638.33003
author: B. Nassrallah
published in: Pacific Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pjm/1102646465
review text: An extension of Askey and Wilson's \(q\)-beta integral is evaluated as a sum of two double series. The formula is then used to find a \(q\)-analogue of Appell's \(F_ 1\) function via its integral representation as well as \(q\)- analogues of transformations of \(F_ 1\) to another \(F_ 1\) and \(F_ 3\) functions.
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 4040309
zbMATH Keywords: basic hypergeometric series
MaRDI profile type: Publication
OpenAlex ID: W2048132817
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DOI: 10.2140/PJM.1990.142.121
description: scientific article; zbMATH DE number 4040309