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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 2 | Year 2016 | Article Id. IJMTT-V37P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P520

Fractional derivatives involving multivariable I-function II


F.Y.Ayant
Abstract

In this document, we derive two 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 and general a class of polynomial of several variables. Several particular cases are given.

Keywords
Fractional derivative, multivariable I-function, multivariable H-function, general class of polynomials, Srivastava-Daoust 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 Garg M. Some integral involving a general class of polynomials and multivariable H-function. Rev. Roumaine Phys. 32(1987), page 685-692.
[5] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[6] 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 :

F.Y.Ayant, "Fractional derivatives involving multivariable I-function II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 2, pp. 147-157, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P520

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