Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2021; 36(2): 239-246

Online first article February 1, 2021      Printed April 30, 2021

https://doi.org/10.4134/CKMS.c200110

Copyright © The Korean Mathematical Society.

Extended generalized Bateman's matrix polynomials

Mosaed M. Makky

South Valley University

Abstract

In this article, a study of generalized Bateman's matrix polynomials is presented. We obtained partial differential equations by using differential operators in the generalized Bateman's matrix polynomials for two variables. Then we introduced some different recurrence relationships of the generalized Bateman's matrix polynomials. Finally present the relationship between the generalized Bateman's matrix polynomials of one and two variables.

Keywords: Generalized Bateman's matrix polynomials, differential operators, recurrence relations, Jacobi matrix polynomials, hypergeometric function

MSC numbers: Primary 33C45, 33E20; Secondary 11B37