On transformation formulae for Srivastava-Daoust type $q$-hypergeometric series
Yashoverdhan Vyas, Kalpana Fatawat
TL;DR
This paper develops q-analogues of transformation and reduction formulas for Srivastava-Daoust type double hypergeometric series, expanding the toolkit for manipulating these series using extended Bailey's Transform.
Contribution
It introduces new q-analogues of transformation and reduction formulas for Srivastava-Daoust series using an extended Bailey's Transform, with several known transformations as special cases.
Findings
Derived q-analogues of transformation formulas
Obtained reduction formulas for Srivastava-Daoust series
Connected results to known q-hypergeometric transformations
Abstract
We present here the -analogues of certain transformations or reduction formulae for Srivastava-Daoust type double hypergeometric series. These reduction formulae are derived by utilizing the extended Bailey's Transform developed and studied by Joshi and Vyas [Int. J. Math. Sci., (12), 2005, 1909-1927]. A number of well-known -hypergeometric transformations are also obtained as special cases of our results.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Nonlinear Waves and Solitons