Vol. 21 (2011)
Articles

Fractional integral operators and the multiindex Mittag-Leffler functions

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.

Published 2011-01-15

DOI:

https://doi.org/10.71712/

Keywords

  • Mittag-Leffler function,
  • fractional integral operators

How to Cite

S.D. Purohit, S.L. Kalla, & D.L. Suthar. (2011). Fractional integral operators and the multiindex Mittag-Leffler functions. Scientia Series A: Mathematical Sciences, 21, 87-96. https://doi.org/10.71712/

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.

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