A HYPERGEOMETRIC GENERATING FUNCTION INFLUENCED BY THE WORK OF BURCHNALL, KRALL-FRINK AND RAINVILLE

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

Abstract

In this paper,we obtain a hypergeometric generating relation associated with Srivastava-Daoust double hypergeometric function using a closed form of reduction formula and series rearrangement technique.Some results of Burchnall, Krall-Frink and Rainville are also obtained as special cases of our result.

Keywords and Phrases

Srivastava-Daoust double hypergeometric function; Series rearrangement technique;Reduction formula;Rainville polynomials;Generalized Bessel polynomials.

A.M.S. subject classification

33C45, 05A15, 33C20.

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