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Connections Between Legendre with Hermite and Laguerre Matrix Polynomials
Journal article   Peer reviewed

Connections Between Legendre with Hermite and Laguerre Matrix Polynomials

Ayman Shehata
G U Fen Bilimleri Dergisi (G.U. Journal of Science), Vol.28(2), pp.221-230
01/01/2015

Abstract

Hermite polynomials Integrals Joints Mathematical analysis Polynomials Representations
The aim of this paper is to develop a connection between Legendre and Hermite matrix polynomials recently introduced in [8, 25] is derived. We also obtain various new generalized forms of the Legendre matrix polynomials by using the integral representation method. An expansion of Legendre matrix polynomials in a series of Laguerre matrix polynomials is established.

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