**InternationaleJournals**

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**