Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2013; 28(1): 87-105

Printed January 31, 2013

https://doi.org/10.4134/CKMS.2013.28.1.87

Copyright © The Korean Mathematical Society.

On some generating functions of generalized Bateman's and Pasternak's polynomials of two variables

Sayed Mohammad Abbas, Mumtaz Ahmad Khan, and Abdul Hakim Khan

Aligarh Muslim University, Aligarh Muslim University, Aligarh Muslim University

Abstract

The aim of the present paper is to study some generating functions of generalized Bateman's and Pasternak's polynomials of two variables.

Keywords: Bateman's polynomial of one and two variables, Pasternak's polynomial of one and two variables, Kamp\'{e} de F\'{e}riet series, triple hypergeometric series, generating functions

MSC numbers: 33C45