학술논문

GENERALIZATION OF LAGUERRE MATRIX POLYNOMIALS FOR TWO VARIABLES
Document Type
Article
Source
호남수학학술지 / HONAM MATHEMATICAL JOURNAL. Mar 31, 2021 43(1):141
Subject
Laguerre matrix polynomials
generating functions
recurrence relations
Language
English
ISSN
1225-293x
Abstract
The main object of the present paper is to introduce the generalized Laguerre matrix polynomials for two variables. We prove that these matrix polynomials are characterized by the generalized hypergeometric matrix function. An explicit representation, generating functions and some recurrence relations are obtained here. Moreover, these matrix polynomials appear as solution of a differential equation.