Some transformations and reduction formulas for multiple q-hypergeometric series
type: Item
instance of: scholarly article
title: Some transformations and reduction formulas for multiple q-hypergeometric series
zbMATH Open document ID: 0575.33003
DOI: 10.1007/BF01760810
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1986-01-01T00:00:00Z
review text: Some simple ideas of \textit{G. E. Andrews} [see, for example, J. Lond. Math. Soc., II. Ser. 4, 618-622 (1972; Zbl 0235.33003)] are used here to derive a transformation formula for a general multiple q-series with essentially arbitrary terms. As applications of (or motivated by) this q- series transformation, several transformation and reduction formulas for q-hypergeometric series in two and more variables are presented. Relevant connections of the various q-identities considered here with a number of known results are also indicated.
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 3918817
zbMATH Keywords: multiple q-series
zbMATH Keywords: q-series transformation
zbMATH Keywords: q-identities
author: H. M. Srivastava
MaRDI profile type: Publication
cites work: Saalschützian Theorems for Basic Double Series
cites work: Summations and Transformations for Basic Appell Series
cites work: Q3324250
cites work: An Algebraic Identity
cites work: On the Transformation Theory of Basic Hypergeometric Functions
cites work: Q5508372
full work available at URL: https://doi.org/10.1007/bf01760810
OpenAlex ID: W2028188876
description: scientific article; zbMATH DE number 3918817