Fractional integral operators and the multiindex Mittag-Leffler functions

Resumen

The aim of this paper is to study some properties of multiindex Mittag-Leffler type function \(E_{(1/\rho_j),(\mu_j)}(z)\) introduced by Kiryakova [V. Kiryakova, J. Comput. Appl. Math. 118 (2000), 241-259]. Here we establish certain theorems which provide the image of this function under the Saigo's fractional integral operators. The results derived are of general character and give rise to a number of known results in the theory of multiindex Mittag-Leffler functions.