Michael J. Schlosser
$q$-Analogues of two product formulas of hypergeometric functions by Bailey
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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