q-Extension of Dirichlet Averages of Generalized Fox-Wright Function

Abstract-- The objective of the present paper is to investigate the q-Dirichlet averages of the generalized Fox-wright hypergeometric function introduced by Wright in (1935) [1,2] 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 transformations. The authors obtained a simple conceptual q-extension of these results by introducing q- integral of multivariate type