Modified Laguerre Matrix Polynomials

被引：5
|
作者：
Kargin, Levent [1 ]
Kurt, Veli [1 ]
机构：
[1] Akdeniz Univ, Fac Sci, Dept Math, TR-07058 Antalya, Turkey
来源：
FILOMAT | 2014年 / 28卷 / 10期
关键词：
Laguerre matrix polynomials; Modified Laguerre matrix polynomials; generating matrix functions; Matrix differential equation; BOUNDED INTERVALS; ASYMPTOTICS; SERIES;
D O I：
10.2298/FIL1410069K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, modified Laguerre matrix polynomials which appear as finite series solutions of second-order matrix differential equation are introduced. Some formulas related to an explicit expression, a three-term matrix recurrence relation and a Rodrigues formula are obtained. Several families of bilinear and bilateral generating matrix functions for modified Laguerre matrix polynomials are derived. Finally a new generalization of the Laguerre-type matrix polynomials is introduced.
引用
收藏
页码：2069 / 2076
页数：8
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