Connections between Legendre with Hermite and Laguerre Matrix Polynomials

Authors : Ayman SHEHATA

Pages : 221-230

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Publication Date : 2015-06-22

Article Type : Other Papers

Abstract :The aim of this paper is to develop a connection between Legendre and Hermite matrix polynomials recently introduced in \cite{Lasm1} is derived. We also obtain various new generalized forms of the Legendre and Hermite matrix polynomials by using the integral representation method. The expansion of Legendre matrix polynomials in a series of Laguerre matrix polynomials is established.
Keywords : Hermite, Laguerre and Legendre matrix polynomials, Integral representation, Finite summation