Dirichlet Averages of Generalized Multi-index Mittag-Leffler Functions
Abstract
The object of this article is to investigate the Dirichlet averages of the generalized multi--index Mittag--Leffler functions introduced by Saxena and Nishimoto \cite{23, 24}. 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 \cite{28} and multi--index Mittag--Leffler functions due to Kiryakova \cite{13} are deduced. Certain results given earlier by Kilbas {\em et al.} \cite{9} also follow as special cases of our findings.
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2011-12-02
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How to Cite
Dirichlet Averages of Generalized Multi-index Mittag-Leffler Functions. (2011). Armenian Journal of Mathematics, 3(4), 174-187. http://test.armjmath.sci.am/index.php/ajm/article/view/79