On the incomplete second Appell hypergeometric matrix functions

被引：10

作者：

Verma, Ashish ^{[1
]}

Yadav, Sarasvati ^{[2
]}

机构：

[1] Madhav Inst Sci & Technol, Dept Appl Sci, Gwalior 474005, MP, India

[2] Natl Inst Technol, Dept Math, Kurukshetra, Haryana, India

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 09期

关键词：

Matrix functional calculus; recursion formula; gamma matrix function; incomplete gamma matrix function; incomplete Pochhammer matrix symbols;

D O I：

10.1080/03081087.2019.1640178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the incomplete second Appell hypergeometric matrix functions in terms of the incomplete Pochhammer matrix symbols. We also derive certain properties such as matrix differential equation, integral formula, recurrence relation, recursion formula and differentiation formula of the incomplete second Appell hypergeometric matrix functions. This enriches the theory of special matrix functions. The results listed here are believed to be new.

引用

页码：1747 / 1760

页数：14

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