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Result: Transformations of Multipleq-Series with Quasi-Arbitrary Terms: Transformations of multiple \(q\)-series with quasi-arbitrary terms

Title:
Transformations of Multipleq-Series with Quasi-Arbitrary Terms: Transformations of multiple \(q\)-series with quasi-arbitrary terms
Authors:
Per W. Karlsson, Hari M. Srivastava
Source:
Journal of Mathematical Analysis and Applications. 231:241-254
Publisher Information:
Elsevier BV, 1999.
Publication Year:
1999
Subject Terms:
basic Pochhammer symbols, Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, transformation formulas, 0101 mathematics, basic hypergeometric summation formulas, 01 natural sciences, Analysis
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
0022-247X
DOI:
10.1006/jmaa.1998.6217
Access URL:
http://www.sciencedirect.com/science/article/pii/S0022247X98962175
https://core.ac.uk/display/82453644
https://www.sciencedirect.com/science/article/pii/S0022247X98962175
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....9e732ea62b69f7a23a708a4a0cf9ebc1
Database:
OpenAIRE

Further Information

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.