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Some relations on Humbert matrix polynomials

Research Authors
Ayman Shehata
Research Abstract

The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix polynomials also of two, three and several index are derived.

Research Department
Research Journal
Mathematica Bohemica
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 141, No. 4
Research Website
http://mb.math.cas.cz/mb141-4/1.html
Research Year
2016
Research Pages
pp. 407-429