Extended generalized Bateman's matrix polynomials Commun. Korean Math. Soc. 2021 Vol. 36, No. 2, 239-246 https://doi.org/10.4134/CKMS.c200110 Published online February 1, 2021 Printed April 30, 2021 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 Downloads: Full-text PDF   Full-text HTML