On the two-dimensional Saigo-Maeda fractional calculus asociated with two-dimensional Aleph TRANSFORM

  • Dinesh Kumar
  • Ram Kishore Saxena
  • Jeta Ram
Keywords: Aleph function, Saigo-Maeda operators, Fractional calculus, Mellin-Barnes type integrals, Appell function F3, H-function, and Mittag-Leffler function

Abstract

This paper deals with the study of two-dimensional Saigo-Maeda operators of Weyl type associated with Aleph function defined in this paper. Two theorems on these defined operators are established. Some interesting results associated with the H-functions and generalized Mittag-Leffler functions are deduced from the derived results. One dimensional analog of the derived results is also obtained.

Author Biographies

Dinesh Kumar

Research Scholar, Department of Mathematics and Statistics,

Jai Narayan Vayas University, Jodhpur (INDIA)- 342005

Ram Kishore Saxena

Proffesor, Department of Mathematics and Statistics,

Jai Narayan Vayas University, Jodhpur (INDIA)- 342005

Jeta Ram

Associate Professor, Department of Mathematics and Statistics,

Jai Narayan Vayas University, Jodhpur (INDIA)- 342005

Published
2013-10-22
Section
Articoli