TITLE:
On Humbert Matrix Polynomials of Two Variables
AUTHORS:
Ghazi S. Khammash, A. Shehata
KEYWORDS:
Humbert Matrix Polynomials of Two Variables; Hypergeometric Matrix Function; Matrix Functional Calculus
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.6,
November
26,
2012
ABSTRACT: In this paper we introduce Humbert matrix polynomials of two variables. Some hypergeometric matrix representations of the Humbert matrix polynomials of two variables, the double generating matrix functions and expansions of the Humbert matrix polynomials of two variables in series of Hermite polynomials are given. Results of Gegenbauer ma-trix polynomials of two variables follow as particular cases of Humbert matrix polynomials of two variables.