The incomplete matrix beta function and its application to first Appell hypergeometric matrix function

被引：1

作者：

Ma, Xuan ^{[1
]}

Bakhet, Ahmed ^{[2
]}

He, Fuli ^{[3
,6
]}

Abdalla, Mohamed ^{[4
,5
]}

机构：

[1] Wuhan Text Univ, Sch Math & Phys Sci, Res Cent Appl Math & Interdisciplinary Sci, Wuhan, Peoples R China

[2] Al Azhar Univ, Fac Sci, Dept Math, Assiut, Egypt

[3] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha, Peoples R China

[4] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia

[5] South Valley Univ, Fac Sci, Math Dept, Qena, Egypt

[6] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Incomplete beta matrix function; incomplete Pochhammer matrix symbol; incomplete Appell hypergeometric matrix function; PARTIAL DERIVATIVES; NEUTRIX CALCULUS; GAMMA; EXTENSION;

D O I：

10.1080/03081087.2023.2224495

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first introduce the incomplete beta matrix function B-z(M, K), Z is an element of C, for parameter matrices M and K in C-mxm using the neutrix limit and evaluation methods on their the partial derivatives. Also, we define a new extension of the Pochhammer matrix symbol in terms of the incomplete beta matrix functions. Furthermore, we then apply this extended matrix symbol for the incomplete first Appell hypergeometric matrix functions and obtain some of their properties.

引用

页码：2003 / 2021

页数：19

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