Saxena, R.K. and Pogany, T.K. and Ram, J. and Daiya, J. (2011) Dirichlet Averages of Generalized Multi-index Mittag-Leffler Functions. Armenian Journal of Mathematics, 3 (4). pp. 174-187. ISSN 1829-1163
![[img]](http://ajm.asj-oa.am/style/images/fileicons/application_pdf.png)
| PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 298Kb |
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.
| Item Type: | Article |
|---|---|
| Subjects: | 26-xx Real functions 33-xx Special functions |
| ID Code: | 409 |
| Deposited By: | Professor Anry Nersesyan |
| Deposited On: | 02 Dec 2011 18:07 |
| Last Modified: | 02 Dec 2011 18:34 |
Repository Staff Only: item control page