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Generalized Srivastava’s triple hypergeometric functions and their associated properties. (English) Zbl 1412.33002

Summary: The main object of this paper is to introduce generalized Srivastava’s triple hypergeometric functions by using the generalized Pochhammer symbol and investigate certain properties, for example, their various integral representations, derivative formulas and recurrence relations. Various (known or new) special cases and consequences of the results presented here are also considered.

MSC:

33B15 Gamma, beta and polygamma functions
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
33C05 Classical hypergeometric functions, \({}_2F_1\)
33C15 Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\)
33C20 Generalized hypergeometric series, \({}_pF_q\)
33B99 Elementary classical functions
33C99 Hypergeometric functions
60B99 Probability theory on algebraic and topological structures

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