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Note on the \(_p R_q(\alpha, \beta; z)\) function. (English) Zbl 1488.33063

Summary: The aim of this paper is to give some convergence conditions of the \(_p R_q(\alpha, \beta; z)\) function. We also derive the integral representation of the function \(_p R_q(\alpha, \beta; z)\) in the form of Mellin-Barnes integral including its analytic property.

MSC:

33E12 Mittag-Leffler functions and generalizations
30A05 Monogenic and polygenic functions of one complex variable
33C05 Classical hypergeometric functions, \({}_2F_1\)
33C20 Generalized hypergeometric series, \({}_pF_q\)
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References:

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