On Humbert Matrix Polynomials of Two Variables

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On Pseudo Hermite Matrix Polynomials of Two Variables

Abstract. The main aim of this paper is to define a new polynomial, say, pseudo hyperbolic matrix functions, pseudo Hermite matrix polynomials and to study their properties. Some formulas related to an explicit representation, matrix recurrence relations are deduced, differential equations satisfied by them is presented, and the important role played in such a context by pseudo Hermite matrix p...

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The Matrix Version for the Multivariable Humbert Polynomials

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ژورنال

عنوان ژورنال: Advances in Pure Mathematics

سال: 2012

ISSN: 2160-0368,2160-0384

DOI: 10.4236/apm.2012.26064