Fractional integral formulae involving the Srivastava-Daoust functions
and the multivariable Aleph-function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V44P532

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 4 | Year 2017 | Article Id. IJMTT-V44P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P532

Fractional integral formulae involving the Srivastava-Daoust functions and the multivariable Aleph-function

F.Y.Ayant

Abstract

In this paper, we shall establish two fractional integral formulae involving the product of the Srivastava-Daoust functions and the multivariable Alephfunction. Since these functions includes a large number of special functions as its particular cases, therefore, the result establish here will be serve as key formulae. We shall given the particular cases concerning the multivariable H-function and the Aleph-function of two variables.

Keywords

:multivariable Aleph-function, Aleph-function of two variables, multivariable H-function, Riemann-Liouville operator, Erdelyi-Kober operator,Srivastava-Daoust function.

References

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[5] Sharma C.K. and Patel K. Fractional integral formulae involving the generalized Kampe de Fériet functions and the I-function of two variables. Bulletin of Pure and Applied Sciences .Vol 13 (no 1), 1994, page 47-52.
[6] Srivastava H.M. and Daoust M.C. Certain generalized Neuman expansions associated with the Kampé de Fériet function. Nederl. Akad. Wetensch. Indag. Math, 31 (1969), page 449-457.
[7] 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 integral formulae involving the Srivastava-Daoust functions and the multivariable Aleph-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 4, pp. 206-213, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P532