On the Generalized Extended Wright Function

Abstract

The main object of this paper is to introduce a new generalized extended Wright function, for the new generalized extended Wright function properties such as integral representations, Euler’s beta, Mellin, inverse Mellin, Jacobi, Gegenbaur, and Legendre transforms are proposed and investigated. Moreover, some derivative formulas, classical and extended Riemann-Liouville fractional derivative and integral are also proposed.