On Humbert Matrix Polynomials of Two Variables

Ghazi S.  Khammash; A.  Shehata

doi:10.4236/apm.2012.26064

Ghazi S. Khammash^*, A. Shehata^*

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.

Keywords: Humbert Matrix Polynomials of Two Variables; Hypergeometric Matrix Function; Matrix Functional Calculus

Cite this paper: G. Khammash and A. Shehata, "On Humbert Matrix Polynomials of Two Variables," Advances in Pure Mathematics, Vol. 2 No. 6, 2012, pp. 423-427. doi: 10.4236/apm.2012.26064.

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