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

Year 2024, Volume: 73 Issue: 2, 306 - 318, 21.06.2024

Nabiullah Khan , Mohammad Iqbal Khan , Mohd Saif , Talha Usman

https://doi.org/10.31801/cfsuasmas.1260059

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.

Keywords

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

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