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arXiv · 1612.07284

$q$-Analogues of two product formulas of hypergeometric functions by Bailey

Michael J. Schlosser
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Abstract

We use Andrews' $q$-analogues of Watson's and Whipple's $_3F_2$ summation theorems to deduce two formulas for products of specific basic hypergeometric functions. These constitute $q$-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.

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Michael J. Schlosser. 2017-03-11. $q$-Analogues of two product formulas of hypergeometric functions by Bailey. https://doi.org/10.1142/9789813228887_0023

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