On another extension of \(q\)-Pfaff-Saalschütz formula. (English) Zbl 1224.05037

Summary: We give an extension of \(q\)-Pfaff-Saalschütz formula by means of Andrews-Askey integral. Applications of the extension are also given, which include an extension of \(q\)-Chu-Vandermonde convolution formula and some other \(q\)-identities.


05A30 \(q\)-calculus and related topics
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
33D05 \(q\)-gamma functions, \(q\)-beta functions and integrals
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