On some generalized results of fractional derivatives II

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V37P518

International Journal of Mathematics Trends and Technology

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Volume 37 | Number 2 | Year 2016 | Article Id. IJMTT-V37P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P518

On some generalized results of fractional derivatives II

F.Y.Ayant

Abstract

The purpose of the present document is to derive a number of key formulas for fractional derivatives of multivariables I-function defined by Prasad [5] and generalized multivariable polynomials. Some of the applications of the key formulas provide potentially useful generalizations of know results in the theory of fractional calculus.

Keywords

I-function of several variables,general fractional derivative formulae, special function, general class of polynomials.

References

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[7] Srivastava H.M., A contour integral involving Fox's H-function. Indian J.Math. 14(1972), page1-6.
[8] Srivastava H.M. and Daoust M.C. Certain generalized Neumann expansions associated with Kampé de Fériet function. Nederl. Akad. Wetensch. Proc. Ser. A72 = Indag. Math, 31, (1969), p 449-457.
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[10] H.M. Srivastava And R.Panda. 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, "On some generalized results of fractional derivatives II," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 2, pp. 129-139, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P518