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An integral representation of some \(k\)-hypergeometric functions. (English) Zbl 1251.33004

Summary: We introduce a new and simple integral representation of some \(k \)-confluent hypergeometric functions and \(k \)-hypergeometric functions.

MSC:

33C20 Generalized hypergeometric series, \({}_pF_q\)
33C15 Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\)
33B15 Gamma, beta and polygamma functions
33D60 Basic hypergeometric integrals and functions defined by them
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