CERTAIN HYPERGEOMETRIC GENERATING FUNCTIONS INDUCED BY THE WORK OF BRAFMAN AND SHIVELY

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

In this paper, we obtain three hypergeometric generating relations associated with Kamp\'{e} de F\'{e}riet double hypergeometric functions, by means of Gauss' quadratic transformation, Whipple's quadratic transformation, K\"{u}mmer's first transformation and Series rearrangement technique. Some special cases are also discussed.

Keywords and Phrases

Hypergeometric functions; Series rearrangement technique; Appell function; Jacobi polynomials; Khandekar's generalized Rice polynomials.

A.M.S. subject classification

33C20, 33C65, 33C45.

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