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

页码：2069 / 2076

页数：8

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