A Note on Multivariable Humbert Matrix Polynomials

Abstract

In this paper, we deal with some properties of the matrix extension of the multivariable Humbert polynomials defined by Aktas et.al [Aktaş, R., Çekim, B. and Şahin, R., The matrix version for the multivariable Humbert polynomials, Miskolc Mathematical Notes, 13(2) (2012), 197-208]. We give matrix differential equations for the products of these matrix polynomials and some other multivariable matrix polynomials, and also we present some new relations for the multivariable Humbert matrix polynomials.

Keywords

• Multivariable Humbert matrix polynomials
• Chan-Chyan-Srivastava matrix polynomials
• Erkus-Srivastava matrix polynomials
• multivariable Lagrange-Hermite matrix polynomials
• matrix differential equation

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