Connections Between Legendre with Hermite and Laguerre Matrix Polynomials

被引：0
|
作者：
Shehata, Ayman [1 ,2 ]
机构：
[1] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt
[2] Qassim Univ, Coll Arts & Sci, Dept Math, Unaizah, Saudi Arabia
来源：
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2015年 / 28卷 / 02期
关键词：
Hermite Laguerre and Legendre matrix polynomials; Integral representation; Finite summation;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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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页码：221 / 230
页数：10
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