an:05702423 Zbl 1190.33016 Metwally, M.S.; Mohamed, M.T.; Shehata, A. On pseudo Hermite matrix polynomials of two variables. EN Banach J. Math. Anal. 4, No. 2, 169-178, electronic only (2010). ISSN 1735-8787/e 2010

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*33C47 operational calculus; pseudo hyperbolic functions; matrix differential equation; pseudo Hermite polynomials Summary: 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, the differential equations satisfied by them are presented, and the important role played in such a context by pseudo Hermite matrix polynomials is underlined.