Abstract

In this paper, we have presented a unified theory of obtaining a novel class of bilateral generating relations involving certain special functions by group theoretic method. In Section 2, the method has been fully discussed and finally we have arrived at a conclusion in connection with the unification of a class of bilateral generating functions involving some special functions which is stated in Theorem 2.1. In Section 3, we have obtained a good number of theorems on bilateral generating functions involving various special functions in course of application of Theorem 2.1 obtained in this investigation.

Keywords and Phrases

bilateral generating relation, special functions.

A.M.S. subject classification

33C45

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