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

F.A.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V60P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 1 | Year 2018 | Article Id. IJMTT-V60P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P503

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

F.A.Ayant

Abstract

In the present paperwe derive two fractional integral formulae involving the product of t wo generalized Srivasttava-Doust functions and a generalized multivariable Gimel-function. Since these functions includes a large number of special functions as its particular cases, therefore, the results established here will serve as key formulae.

Keywords

Generalized multivariable Gimel-function, Riemann-Liouville operator, Erdethe lyi-Kober operator, Srivastava-Daoust function.

References

[1] F. Ayant, An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT), 31(3) (2016), 142-154.
[2] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[3] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[4] J. Prathima, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol (2014), 1-12.
[5] B. Ross, Fractional calculus and its applications, Lecture notes in maths, New York, Springer Verlaq 45(1975).
[6] H.M. Srivastava, and M.C. Daoust, Certain generalized Newman expansions associated with Kampe de Feriet function, Nedel. Akad. Wetensch. Proc. Ser. A 72, Indiga math. 31 (1969), 449-457
[7] H.M. Srivastava, and M.C. Daoust, A note on the convergence of Kampe de Feriet double hypergeometric series, Math Nach 53 (1972), 151-159.
[8] 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),119-137.
[9] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25 (1976), 167-197.

Citation :

F.A.Ayant, "Fractional integral formulae involving the Srivastava-Daoust functions and the multivariable Gimel-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 1, pp. 13-21, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P503