Reduction and transformation formulae for bivariate basic hypergeometric series
type: Item
instance of: scholarly article
title: Reduction and transformation formulae for bivariate basic hypergeometric series
zbMATH Open document ID: 1105.33015
author: Cangzhi Jia
author: Tianming Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-12T00:00:00Z
review text: In this paper the authors investigate bivariate \(q\)-series and prove several reduction and transformation formulae for \(q\)- Kampé de Fériet functions. The proofs of the formulae obtained involve appropriate multiple series rearrangements.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D90
Mathematics Subject Classification ID: 33D45
zbMATH DE Number: 5124020
zbMATH Keywords: basic hypergeometric series
zbMATH Keywords: transformation formulae
zbMATH Keywords: \(q\)-series identities
zbMATH Keywords: \(q\)-Kampé de Fériet functions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.06.002
OpenAlex ID: W2060723585
cites work: Series identities and reducibility of Kampé de Fériet functions
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cites work: Series identities and associated families of generating functions
cites work: Ordinary and basic bivariate hypergeometric transformations associated with the Appell and Kampé de Fériet functions
cites work: Q4040884
cites work: Transformations of multiple \(q\)-series with quasi-arbitrary terms
cites work: q-Series Identities and Reducibility of Basic Double Hypergeometric Functions
cites work: Q3345085
DOI: 10.1016/J.JMAA.2006.06.002
description: scientific article; zbMATH DE number 5124020