GENERAL CLASS OF GENERATING FUNCTIONS AND ITS APPLICATIONS-I

Print ISSN: 0972-7752

Abstract

In this paper, we introduce a general class of generating functions involving the product of modifi ed Jacobi polynomials Pn(α,β-n) (x) and the confluent hypergeometric functions 1F1[.] and then obtain its some more general class of generating functions by group-theoretic approach and discuss their applications. Earlier Chandel, Kumar and Senger [1] introduce a general class of generating functions involving the product of modi ed Bessel polynomials Yn(α+n) and the confluent hypergeometric functions 1F1[.].

Keywords and Phrases

Generating functions, Modifi ed Jacobi polynomials, Confluent hypergeometric functions.

A.M.S. subject classification

33C45, 33C99, 22E30.

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