• Dirichlet Averages of Generalized k- Mittag-Leffler function

Abstract

The object of this paper is to investigate the Dirichlet averages of the generalized k- Mittag-Leffler function introduced by Gehlot [5]. Representations of such relations are obtained in terms of Riemann-Liouville integrals and hypergeometric functions of several variables. Some interesting special cases when the above Dirichlet averages coincide with the k- Mittag-Leffler function, generalized Mittag-Leffler functions and hypergeometric functions of one and many variables are considered.