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.

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Published

2011-12-02

Issue

Vol. 3 No. 4 (2011)

Section

Articles

How to Cite

[1]
R. Saxena, T. Pogany, J. Ram, and J. Daiya, “Dirichlet Averages of Generalized Multi-index Mittag-Leffler Functions”, Armen.J.Math., vol. 3, no. 4, pp. 174–187, Dec. 2011, Accessed: Dec. 27, 2024. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/79