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Some Classical Properties Of Generalized Hypergeometric Polynomials
 

V.S. Bhagavan
Department of Mathematics, Freshman Engineering Department-I, K.L. University, Green Fields, Vaddeswaram-522502,(India). E-mail: drvsb002@gmail.com

 

 

ABSTRACT                                                                 

An attempt is made to derive some classical properties of generalized hypergeometric polynomials through group-theoretic method such as addition and multiplication theorem, finite difference formula and integral representations of the various types. 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, sciences and constitute good models for many systems in various fields.

Mathematics Subject Classification: 33C45, 33C50, 33C80

Keywords: Special Functions,  Hypergeometric polynomials,  integral representations.

 

 


International eJournal of Mathematical Sciences, Technology and Humanities

Volume 2, Issue 1, Pages:  294 - 301