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DOI码：

10.1080/03081087.2021.1923629

发表刊物：

Linear and Multilinear Algebra

关键字：

Bessel matrix function; integral representation; differentiation formula; hypergeometric representation; matrix differential equation

摘要：

In this paper, we focus on the extensions of the Bessel matrix function and the modified Bessel matrix function. We first introduce the extended Bessel matrix function and the extended modified Bessel matrix function of the first kind by using the extended Beta matrix function. Then we establish the integral representations, differentiation formula, and hypergeometric representation of such functions. Finally, as an application, we study a kind of second-order matrix differential equations. We prove that the extended modified Bessel matrix function is a particular solution to this kind of differential equations.

合写作者：

Ahmed Bakhet, Fuli He*, Mimi Yu

论文类型：

期刊论文

学科门类：

理学

一级学科：

数学

文献类型：

J

卷号：

2021

页面范围：

1-20

是否译文：

否

发表时间：

2021-05-06

收录刊物：

SCI

发布期刊链接：

https://doi.org/10.1080/03081087.2021.1923629