Extended k-Gamma and k-Beta Functions of Matrix Arguments

被引：23

作者：

Khammash, Ghazi S. ^{[1
]}

Agarwal, Praveen ^{[2
,3
,4
]}

Choi, Junesang ^{[5
]}

机构：

[1] Al Aqsa Univ, Dept Math, Gaza Strip 79779, Palestine

[2] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

[5] Dongguk Univ, Dept Math, Gyeongju 38066, South Korea

来源：

MATHEMATICS | 2020年 / 8卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

k-gamma function; k-beta function; gamma function of a matrix argument; beta function of matrix arguments; extended gamma function of a matrix argument; extended beta function of matrix arguments; k-gamma function of a matrix argument; k-beta function of matrix arguments; extended k-gamma function of a matrix argument; extended k-beta function of matrix arguments; POLYNOMIALS; EXTENSION;

D O I：

10.3390/math8101715

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented and studied. In this paper, we aim to introduce an extended k-gamma function of a matrix argument and an extended k-beta function of matrix arguments and investigate some of their properties such as functional relations, inequality, integral formula, and integral representations. Also an application of the extended k-beta function of matrix arguments to statistics is considered.

引用

页码：1 / 13

页数：13

共 12 条

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