Dirichlet Averages of Generalized Fox-Wright Function

The objective of this paper is to investigate the Dirichlet averages of the generalized Fox-Wright hypergeometric function introduced by Wright in (1935)[9,10],Like the functions of the Mittag-Leffler type, the functions of the Wright type are known to play fundamental roles in various applications of the fractional calculus. This is mainly due to the fact that they are interrelated with the Mittag-Leffler functions through Laplace and Fourier transforms. The authors making the use of Riemann Liouville integrals andDirichletintegrals which is a multivariate integral and the generalization of a beta integral.Finally, the authors deduce representations for the Dirichlet averages