Dirichlet Averages of Generalized Multi-index Mittag-Leffler Functions

Authors

  • R.K. Saxena Department of Mathematics and Statistics Jai Narain Vyas University Jodhpur{342004, India
  • T.K. Pogany Faculty od Maritime Studies University of Rijeka Studentska 2, 51000 Rijeka, Croatia
  • J. Ram Department of Mathematics and Statistics Jai Narain Vyas University Jodhpur–342004, India
  • J. Daiya Department of Mathematics and Statistics Jai Narain Vyas University Jodhpur–342004, India

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.

Downloads

Published

2011-12-02

Issue

Section

Articles

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