On transformation formulae for Srivastava-Daoust type $q$-hypergeometric series
Classical Analysis and ODEs
2016-07-07 v1
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.
Keywords
Cite
@article{arxiv.1607.01542,
title = {On transformation formulae for Srivastava-Daoust type $q$-hypergeometric series},
author = {Yashoverdhan Vyas and Kalpana Fatawat},
journal= {arXiv preprint arXiv:1607.01542},
year = {2016}
}
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11 pages