A New Extended Beta Function Involving Generalized Mittag-Leffler Function and Its Applications
Dr. Salem Barahma
Abstract
The main object of this paper is to introduce a new extension of the beta function involving the generalized Mittag-Leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta distribution and transform formula. We introduce new extended hypergeometric and confluent hypergeometric functions.