A novel kind of beta logarithmic function and their properties

Year 2023, Volume: 52 Issue: 4, 945 - 955, 15.08.2023

Nabiullah Khan , Saddam Husain , Owais Khan

https://doi.org/10.15672/hujms.1153572

Cited By: 2

Abstract

The main objective is to introduce a novel kind of beta function known as the beta logarithmic function using extended beta functions and logarithmic mean. Further, we study its essential properties and investigate various formulas of beta logarithmic functions such as integral representation, summation formula, transform formula and their statistical properties. Based on this concept, we introduce new hypergeometric and confluent hypergeometric functions and study their properties.

Keywords

logarithmic mean, beta function, hypergeometric function, confluent hypergeometric function, beta distribution

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