ON HERMITE-HERMITE MATRIX POLYNOMIALS

被引：0
作者：
Metwally, M. S.
Mohamed, M. T.
Shehata, A.
机构：
来源：
MATHEMATICA BOHEMICA | 2008年 / 133卷 / 04期
关键词：
matrix functions; Hermite matrix polynomials; recurrence relation; Hermite matrix differential equation; Rodrigues's formula;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite matrix polynomials is proposed.
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页码：421 / 434
页数：14
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