engleski

Dirichlet averages of generalized multi-index Mittag-Leffler functions

The object of this article is to investigate the Dirichlet averages of the generalized multi-index Mittag-Leffler functions introduced by Saxena and Nishimoto [25, 26]. Representations of such relations are obtained in terms of Riemann-Liouville integrals and hypergeometric functions of several variables. Some interesting special cases of the established results associated with generalized Mittag-Leffler functions due to Srivastava and Tomovski [30] and multi-index Mittag-Leffler functions due to Kiryakova [13] are deduced. Certain results given earlier by Kilbas et al. [9] also follow as special cases of our findings.

Generalized Mittag-Leffler function ; Dirichlet Averages ; Riemann-Liouville fractional integral ; Multi-index Mittag-Leffler function ; Srivastava-Daoust generalized Lauricella F_D hypergeometric function

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