Naslov
Dirichlet averages of generalized multi-index Mittag-Leffler functions

Autori
Saxena, Ram Kishore ; Poganj, Tibor ; Ram, Jeta ; Daiya, Jitendra

Izvornik
Armenian journal of mathematics (1829-1163) 3 (2010), 4; 174-187

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Generalized Mittag-Leffler function ; Dirichlet Averages ; Riemann-Liouville fractional integral ; Multi-index Mittag-Leffler function ; Srivastava-Daoust generalized Lauricella F_D hypergeometric function

Sažetak
The object of this article is to investigate the Dirichlet averages of the generalized multi-index Mittag-Leffler functions introduced by Saxena and Nishimoto [25, 26]. 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 [30] and multi-index Mittag-Leffler functions due to Kiryakova [13] are deduced. Certain results given earlier by Kilbas et al. [9] also follow as special cases of our findings.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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