- Gazi University Journal of Science
- Vol: 28 Issue: 2
- Connections between Legendre with Hermite and Laguerre Matrix Polynomials
Connections between Legendre with Hermite and Laguerre Matrix Polynomials
Authors : Ayman Shehata
Pages : 221-230
View : 8 | Download : 3
Publication Date : 2015-06-22
Article Type : Other
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.