Ismail and Wilson derived a generating function for Askey-Wilson polynomials which is given by a product of q-Gauss (Heine) nonterminating basic hypergeometric functions. We provide a generalization of that generating function which contains an extra parameter. A special case gives a closed form summation formula for a quadruple basic hypergeometric sum. We further present two new terminating balanced 4Φ3 summations that give rise to quadratic special values for Askey-Wilson polynomials. We also present three new terminating 2-balanced 4Φ3 and two new terminating 3-balanced 4Φ3. Using the Ismail-Wilson generating function combined with explicit summations for terminating balanced basic hypergeometric 4Φ3 series, we compute new basic hypergeometric product transformations for nonterminating basic hypergeometric series and provide corresponding integral representations.
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