Connections between Legendre with Hermite and Laguerre matrix polynomials

Faculty Of Science

Assiut University

Connections between Legendre with Hermite and Laguerre matrix polynomials

Research Authors
Ayman Shehata
Research Abstract

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.

Research Department
Department of Mathematics
Research Journal
Gazi University Journal of Science
Research Member
Ayman Shehata Mohammed Ahmed El-Shazly
Research Publisher
A. Shehata; Connections between Legendre with Hermite and Laguerre matrix polynomials. Gazi University Journal of Science(G. U. J. Sci.) 28 (2) (2015), 221-230.
Research Rank
1
Research Vol
Vol.28 - No. 2
Research Website
http://gujs.gazi.edu.tr/article/view/1060001688
Research Year
2015
Research Pages
221-230.