Connections between Legendre with Hermite and Laguerre Matrix Polynomials

Yıl 2015, Cilt: 28 Sayı: 2, 221 - 230, 22.06.2015

Ayman Shehata

Öz

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.

Anahtar Kelimeler

Hermite, Laguerre and Legendre matrix polynomials; Integral representation; Finite summation.

Connections Between Legendre with Hermite and Laguerre Matrix Polynomials

Öz

Kaynakça

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