q-Analogues of two product formulas of hypergeometric functions by Bailey
Abstract
We use Andrews' q-analogues of Watson's and Whipple's 3F2 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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