Result: Certain transformations of basic hypergeometric functions of two variables – II: Certain transformations of basic hypergeometric functions of two variables
Title:
Certain transformations of basic hypergeometric functions of two variables – II: Certain transformations of basic hypergeometric functions of two variables
Authors:
Source:
Le Matematiche, Vol 48, Iss 1, Pp 45-51 (1993)
Le Matematiche, Vol 44, Iss 2, Pp 333-344 (1989)
Le Matematiche, Vol 44, Iss 2, Pp 333-344 (1989)
Publisher Information:
Università di Catania, Dipartimento di Matematica e Informatica, Catania, 1989.
Publication Year:
1989
Subject Terms:
summation formulas, Generalized basic hypergeometric series, Classical hypergeometric functions, \({}_2F_1\), Appell, Horn and Lauricella functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), basic hypergeometric functions, Other basic hypergeometric functions and integrals in several variables, QA1-939, basic hypergeometric series, Mathematics, \(q\)-analogues of formulas
Document Type:
Academic journal
Article
File Description:
application/xml
ISSN:
0373-3505
Access URL:
Accession Number:
edsair.dedup.wf.002..656b892e881e02ae6a55f90303bcdb0b
Database:
OpenAIRE
Further Information
Making use of basic hypergeometric series in two variables, basic analogues of Vandermonde's theorem, Gaussian theorem and Saalschützian theorem the authors derive three summation formulas which they employ in obtaining three transformation formulas for the basic hypergeometric series of two variables. They also discuss a few interesting special cases of their main results which yield known results on ordinary hypergeometric functions.