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 |