A remark on Andrews-Askey integral. (English) Zbl 1142.33006

Summary: We use the Andrews-Askey integral and the \(q\)-Chu-Vandermonde formula to derive a more general integral formula. Applications of the new integral formula are also given, which include to derive the \(q\)-Pfaff-Saalschütz formula and the terminating Sears’s \(_3\phi _2\) transformation formula.


33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
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