On degenerate gamma matrix functions and related functions

被引：10

作者：

Akel, Mohamed ^{[1
]}

Bakhet, Ahmed ^{[2
]}

Abdalla, Mohamed ^{[1
,3
]}

He, Fuli ^{[4
]}

机构：

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

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

[3] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia

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

来源：

LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Degenerate gamma matrix function; degenerate zeta matrix function; degenerate digamma and polygamma matrix functions; degenerate hypergeometric matrix function;

D O I：

10.1080/03081087.2022.2040942

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, the applications of special functions of matrix arguments have received more attention in many fields, such as theoretical physics, number theory, probability theory, engineering and theory of group representations. Gaining enlightenment from these works, in this paper, we introduce the degenerate gamma matrix function, the degenerate zeta matrix function, the degenerate digamma matrix function, the degenerate polygamma matrix function and the degenerate Gauss hypergeometric matrix function. Basic properties of these functions are discussed. In addition, we derive some interesting formulas related to these functions and special cases.

引用

页码：673 / 691

页数：19

共 44 条

[1]

Abdalla M., 2016, ASIAN J MATH COMPUT, V9, P253

[2] Some Results on the Extended Hypergeometric Matrix Functions and Related Functions [J].