CERTAIN RESULTS CONCERNING (p, q)-PARAMETERIZED BETA LOGARITHMIC FUNCTION AND THEIR PROPERTIES

被引：0

作者：

Khan, Nabiullah ^{[1
]}

Khan, Mohammad Iqbal ^{[1
]}

Saif, Mohd ^{[2
]}

Usman, Talha ^{[3
]}

机构：

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

[2] Madanapalle Inst Technol & Sci, Dept Math, Chittoor 517325, India

[3] Univ Technol & Appl Sci, Dept Gen Requirements, Sur 411, Oman

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2024年 / 73卷 / 02期

关键词：

Beta function; logarithmic mean; beta distribution; hypergeometric function; confluent hypergeometric function; EXTENSION; GAMMA;

D O I：

10.31801/cfsuasmas.1260059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. The primary object of this article is to introduce (p, q)-beta logarithmic function with extended beta function by using the logarithmic mean. We evaluate different properties and representations of beta logarithmic function. Further, it is evaluated logarithmic distribution, hypergeometric and confluent hypergeometric functions via logarithmic mean are evaluated and their essential properties are studied. Numerous formulas of (p, q)-beta logarithmic functions such as integral formula, derivative formula, transformation formula and generating function are analyzed.

引用

页码：306 / 318

页数：13

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