A NEW EXTENSION OF LOGARITHMIC BETA FUNCTION AND THEIR PROPERTIES

Abstract

Khan Et Al., presented a new kind of beta logarithmic function, we aim in this research article to introduce new extension of beta logarithmic function, Further, we study its fundamental properties and discuss diverse formulas of that extension 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.