Certain Generating Matrix Relations of Generalized Bessel Matrix Polynomials from the View Point of Lie Algebra Method

被引：5

作者：

Shehata, A. ^{[1
,2
]}

机构：

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

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

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 04期

关键词：

Bessel matrix polynomials; Matrix recurrence relations; Generating matrix functions; Lie group theory;

D O I：

10.1007/s41980-018-0067-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of the present paper is to derive the integral representation, matrix recurrence relations and matrix differential recurrence relations for the generalized Bessel matrix polynomials. Furthermore, we obtain a class of generating matrix functions for the generalized Bessel matrix polynomials by using the representation of a Lie group theory with the aid of Weisner's method. Some particular cases of interest as well as the applications of our results are also presented.

引用

页码：1025 / 1043

页数：19

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