Group-Theoretical study of Certain Generating Functions for Two variable Hypergeometric Polynomials

Abstract

The object of the paper is to obtaina new set of generating functions for the newly defined hypergeometric polynomial set of two variables using the representation theory that is a complex special linear group over a complex number by interpreting n. Many results obtained are known relations of special functions.

Keywords: Special Functions, Hypergeometric Polynomials, Lie Algebra, Generating Functions.