Analysis of the beta-logarithmic function and its properties

被引：0
|
作者：
Khan, Nabiullah [1 ]
Sk, Rakibul [2 ]
机构：
[1] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India
[2] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India
来源：
ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2025年 / 45卷 / 01期
关键词：
Logarithmic mean; beta function; beta distribution; hypergeometric function; confluent hypergeometric function;
D O I：
10.1515/anly-2024-0019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we aim to present a new extension of the beta-logarithmic function with the help of an extended beta function and logarithmic mean. Then we introduce its statistical properties and investigate some basic important formulas of extended beta-logarithmic functions, such as integral representation, summation formula and Mellin transform. Further, we consider a new type of hypergeometric and confluent hypergeometric functions using this extended beta-logarithmic function and discuss their various result.
引用
收藏
页码：73 / 83
页数：11
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