• ON CERTAIN GENERATING FUNCTIONS BY GROUP-THEORETIC METHOD FOR GENERALIZED HYPERGEOMETRIC POLYNOMIALS

Abstract

An attempt is made to derive recurrence relations of ascending, descending type and certain generating functions for the generalized hypergeometric polynomials by Weisner’s group-theoretic method which are useful for deriving many other properties of . Furthermore, some particular cases of generalized hypergeometric polynomials , namely Laguerre, Mexiner, Gottlieb, Krawtchouk and Mexiner-pollaczek polynomials are also pointed out, which are of great important in engineering, science and technology and constitute good models for many systems in various fields.