Abstract

In this paper, we introduce a general class of generating functions involving the triple product of modified Laguerre polynomials L^(α−n) _n (x), modified Jacobi polynomials P^(α,β−m) _m (q) and the confluent hypergeometric functions 1F1[.] and then obtain its some more general class of generating functions by grouptheoretic approach and discuss their applications. Earlier Bhandari [1] introduce a general class of generating functions involving the product of modified Jacobi polynomials P^(α,β−n) _n (x) and the confluent hypergeometric functions 1F1[.].

Keywords and Phrases

Generating functions, Modified Laguerre polynomials, Modified Jacobi polynomials, Confluent hypergeometric functions.

A.M.S. subject classification

33C45, 33C99, 22E30.

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