ON HUMBERT MATRIX POLYNOMIALS
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Abstract
The main aim of this paper is to define and study the Humbert matrix polynomials. An explicit representation, differential recurrence relations and a three-term matrix recurrence relation for the Humbert matrix polynomials are given. The hypergeometric matrix representations are established and expansion of the Humbert matrix polynomials as series of Hermite matrix polynomials are obtained.
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2010 Mathematics Subject Classification:Â Â 15A60, 33C05, 42C05, 33C45, 33C50, 33E20.
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