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

Authors

  • 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

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Published

2013-10-22

Issue

Vol. 68 No. 2 (2013)

Section

Articoli

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