CERTAIN GENERATING RELATIONS OF KONHAUSER MATRIX POLYNOMIALS FROM THE VIEW POINT OF LIE ALGEBRA METHOD

被引：0

作者：

Shehata, Ayman ^{[1
,2
]}

机构：

[1] Assiut Univ, Dept Math, Fac Sci, Assiut 71516, Egypt

[2] Qassim Univ, Dept Math, Coll Sci & Arts, Unaizah, Qassim, Saudi Arabia

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2017年 / 79卷 / 04期

关键词：

Konhauser matrix polynomials; Matrix recurrence relations; Matrix differential equations; Generating matrix functions; Lie algebra method; Lie group theory; BIORTHOGONAL POLYNOMIALS; LAGUERRE-POLYNOMIALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to construct Lie operators associated with Konhauser matrix polynomials of the first kind using Lie group theory. Furthermore, certain generating matrix functions, integral representations and matrix differential recurrence relations, new and known consequences for Konhauser matrix polynomials are derived and their applications are presented.

引用

页码：123 / 136

页数：14

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