Fractional derivatives involving multivariable I-function I

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V39P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 39 | Number 3 | Year 2016 | Article Id. IJMTT-V39P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V39P524

Fractional derivatives involving multivariable I-function I

Frédéric Ayant

Abstract

In this document, we derive three key formulas for the fractional derivatives of the multivariable I-function defined by Prasad [2] which is defined by a multiple contour integral of Mellin-Barnes type.

Keywords

Fractional derivative, multivariable I-function, Generalized Leibnitz rule.

References

[1] Oldham K.B.and Spanier J. The fractional calculus. Academic Press , New York 1974.
[2] Prasad Y.N. Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[3] Srivastava H.M. Chandel R.C. and Vishwakarma P.K. Fractional derivatives of certain generalized hypergeometric functions of several variables. Journal of Mathematical Analysis and Applications 184 ( 1994), page 560-572.
[4] Srivastava H.M. and Panda R. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), p.119-137

Citation :

Frédéric Ayant, "Fractional derivatives involving multivariable I-function I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 39, no. 3, pp. 200-205, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V39P524