Fractional integral operators and the multiindex Mittag-Leffler functions

S.D. Purohit; S.L. Kalla; D.L. Suthar

doi:10.71712/

PDF

Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Mittag-Leffler function, fractional integral operators

S.D. Purohit

Department of Basic-Sciences (Mathematics), College of Technology and Engineering, M.P. University of Agriculture and Technology, Udaipur-313001, INDIA.

S.L. Kalla

Institute of Mathematics, Vyas Institute of Higher Education, Jodhpur-342008, INDIA.

D.L. Suthar

Alwar Institute of Engineering & Technology, North Ext., Matsya Industrial Area, Alwar-301030, INDIA.

Abstract

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.

Issue

Vol. 21 (2011)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

S.D. Purohit, S.L. Kalla, & D.L. Suthar. (2025). Fractional integral operators and the multiindex Mittag-Leffler functions. Scientia Series A: Mathematical Sciences, 21, 87-96. https://doi.org/10.71712/