A New Extension of Extended Beta , Hypergeometric and confluent functions by using the product of two Wright Function and it's Applications

Abstract

The generalizations of hypergeometric and confluent hypergeometric functions, as well as gamma and beta functions, are the subject of numerous studies. The product of two Wright functions is used in this paper to define a new type of generalized beta function. Confluent hypergeometric functions and new types of generalized Gauss functions are obtained with the aid of the generalized beta function. Additionally, certain characteristics of these functions are established, including transform formulas, Mellin transforms, derivative formulas, integral representations, and summation formulas.