• Dirichlet Averages of Generalized k- Mittag-Leffler function

Chena Ram, Palu Choudhary*, K. S. Gehlot

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.


Keywords


Generalized k- Mittag-Leffler function, Generalized Mittag-Leffler functions Dirichlet averages, Riemann-Liouville fractional integral, Hypergeometric function of one and many variables.

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