$q$-Analogues of two product formulas of hypergeometric functions by Bailey
Classical Analysis and ODEs
2019-02-22 v2
Abstract
We use Andrews' -analogues of Watson's and Whipple's summation theorems to deduce two formulas for products of specific basic hypergeometric functions. These constitute -analogues of corresponding product formulas for ordinary hypergeometric functions given by Bailey. The first formula was obtained earlier by Jain and Srivastava by a different method.
Keywords
Cite
@article{arxiv.1612.07284,
title = {$q$-Analogues of two product formulas of hypergeometric functions by Bailey},
author = {Michael J. Schlosser},
journal= {arXiv preprint arXiv:1612.07284},
year = {2019}
}
Comments
4 pages; relevant reference added (which contains one of the results, obtained by a different method)