Some Relations on Gegenbauer Matrix Polynomials

Ayman Shehata

Review of Computer Engineering Research, 2015, vol. 2, issue 1, 1-21

Abstract: The main aim of this paper is devoted to derive some relations of Gegenbauer matrix polynomials of two variables. Volterra integral equation and a new representation of these matrix polynomials are given here. We introduce new generalized various forms of Gegenbauer matrix polynomials of two and three matrices by using the method of integral transforms to Hermite matrix polynomials. Furthermore, families of generating matrix functions are obtained and their applications are presented.

Keywords: Gegenbauer and hermite matrix polynomials; Matrix differential equations; Volterra integral equation; Integral representations; Generating matrix functions (search for similar items in EconPapers)
Date: 2015
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