an: Zbl 1190.33016
au: Metwally, M.S.; Mohamed, M.T.; Shehata, A.
ti: On pseudo Hermite matrix polynomials of two variables.
la: EN
so: Banach J. Math. Anal. 4, No. 2, 169-178, electronic only (2010).
py: 2010
dt: J
cc: *33C47
ut: operational calculus; pseudo hyperbolic functions; matrix differential
    equation; pseudo Hermite polynomials
ab: 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.