CERTAIN GENERATING RELATIONS ASSOCIATED WITH THE FAMILY OF BESSEL FUNCTIONS AND MULTIPLE HYPERGEOMETRIC FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 45

Abstract

In this paper, we obtain Laurent and Maclaurin types of hypergeometric generating relations for certain mixed special functions related to the Bessel functions using series rearrangement technique. Further some generating functions for Appell's functions, Lauricella's functions and multiple hypergeometric functions of Kamp\'{e} de F\'{e}riet, are also given.

Keywords and Phrases

Appell functions, Bessel functions, Generating relations, Kamp\'{e} de F\'{e}riet's multiple hypergeometric functions, Lauricella functions.

A.M.S. subject classification

33C65, 33C10, 05A15.

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