Result: Transformations of certain generalized \(q\)-hypergeometric functions of two variables

Title:
Transformations of certain generalized \(q\)-hypergeometric functions of two variables
Authors:
Srivastava, H. M., Singh, S. N., Shukla, H. S.
Publisher Information:
Elsevier, San Diego, CA
Subject Terms:
Generalized basic hypergeometric series, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Other basic hypergeometric functions and integrals in several variables
Document Type:
Academic journal Article
File Description:
application/xml
DOI:
10.1006/jmaa.1995.1425
Access URL:
https://zbmath.org/861833
Accession Number:
edsair.c2b0b933574d..882389e53a022d6b2a2f7b8a4d593bb4
Database:
OpenAIRE

Further Information

The object of the present paper is to derive a number of transformations involving certain families of basic (or \(q\)-) hypergeometric functions of two variables. These results would provide basic (or \(q\)-) extensions of numerous (known or new) transformations associated with the ordinary Kampé de Fériet functions with different sets of arguments. Some further consequences of our main transformation formulas are also considered.