Certain results concerning (p, q)-parameterized beta logarithmic function and their properties-Reference-Cited by-同舟云学术

Certain results concerning (p, q)-parameterized beta logarithmic function and their properties

Published:2023-11-21 Issue:2 Volume:73 Page:306-318
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

Khan Nabiullah¹^ORCID,Khan Mohammad Iqbal¹^ORCID,Saif Mohd²^ORCID,Usman Talha³^ORCID

Affiliation:

1. Aligarh Muslim University

2. Madanpalle Institute of Technology and Science

3. University of Technology and Applied Sciences

Abstract

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.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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