Armenian Journal of Mathematics, 3(4)
2011; 174–187
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Dirichlet Averages of Generalized Multi–indexMittag–Leffler Functions

Ram Saxena*

Received: 2024-12-20 · Published: 2011-12-02

© 2011 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Dirichlet Averages of Generalized Multi–indexMittag–Leffler Functions
Author
Ram Saxena
Source journal
Armenian Journal of Mathematics, 3(4)
Published
2011-12-02
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/79

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 [23, 24]. Representationsof such relations are obtained in terms of Riemann–Liouville integrals and hypergeometricfunctions of several variables. Some interesting special cases of the established results as-sociated with generalized Mittag–Leffler functions due to Srivastava and Tomovski [32] andmulti–index Mittag–Leffler functions due to Kiryakova [12] are deduced. Certain resultsgiven earlier by Kilbaset al.[8] also follow as special cases of our findings.
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