Transformations of multiple \(q\)-series with quasi-arbitrary terms
type: Item
instance of: scholarly article
title: Transformations of multiple \(q\)-series with quasi-arbitrary terms
zbMATH Open document ID: 0930.33011
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-02-09T00:00:00Z
review text: The object of this paper is to obtain several new transformations and reduction formulas for multiple series whose terms involve basic (or \(q\)-) Pochhammer symbols and an essentially arbitrary factor. The series considered here are, in general, \(2r\)- and \(r\)-dimensional. Each of these series is shown to be related to a certain basic hypergeometric summation or transformation formula. Relevant connections of many of the multiple \(q\)-series transformations with various known results are also mentioned briefly.
Mathematics Subject Classification ID: 33D70
zbMATH DE Number: 1274783
zbMATH Keywords: basic Pochhammer symbols
zbMATH Keywords: basic hypergeometric summation formulas
zbMATH Keywords: transformation formulas
author: Per W. Karlsson
author: H. M. Srivastava
reviewed by: Som Prakash Goyal
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6217
OpenAlex ID: W2081933270
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DOI: 10.1006/JMAA.1998.6217
description: scientific article; zbMATH DE number 1274783