A novel Beta matrix function via Wiman matrix function and their applications

被引：0

作者：

Khan, Nabiullah ^{[1
]}

Husain, Saddam ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India

来源：

ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2023年 / 43卷 / 04期

关键词：

Beta matrix function; gamma matrix function; Gauss hypergeometric matrix function; confluent hypergeometric matrix function; EXTENDED BETA;

D O I：

10.1515/anly-2022-1098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many authors defined and extended the beta function in various forms because the beta function has wide uses in different fields of science and applied science. In this article, we define a new more generalized form of the extended beta matrix function via the Wiman matrix function and describe their significant properties and special cases. Furthermore, we define an extension of the Gauss hypergeometric and confluent hypergeometric matrix functions by adopting a novel type of beta matrix function. We also derive their Laplace transform, derivative formula and transformation formulae.

引用

页码：255 / 266

页数：12

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