Abstract
In this paper, Weisner's group theoretic method is utilized to obtain the generating relations for the generalized hypergeometric polynomial set . To derive the elements of Lie algebra, a suitable interpretation to the index n is given. The generating relations are followed by its applications to the classical orthogonal polynomials, namely the Laguerre, Meixner, Gottlieb, Krawtchouk and Meixner-Pollaczek polynomials. Many results obtained as applications are known but some of those presented here are believed to be new.
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