Selberg integral involving a extension of the Hurwitz-Lerch Zeta function , a class of polynomial and the multivariable I-functions

F.Y. AY ANT

doi:https://doi.org/10.14445/22315373/IJMTT-V41P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 2 | Year 2017 | Article Id. IJMTT-V41P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P512

Selberg integral involving a extension of the Hurwitz-Lerch Zeta function , a class of polynomial and the multivariable I-functions

F.Y. AY ANT

Abstract

In the present paper we evaluate the modified Selberg integral involving the product of a multivariable A-function defined by Gautam et al [4], a sequence of functions, the multivariable I-function defined by Nambisan et al [5] and a general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the A-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.We will study two particular cases.

Keywords

General class of polynomials, modified Selberg integral, a extension of the Hurwitz-Lerch Zeta function , multivariable I-function, multivariable H-function.

References

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[3] Prathima J. Nambisan V. and Kurumujji S.K. A Study of I-function of Several Complex Variables, International Journalof Engineering Mathematics Vol(2014) , 2014 page 1-12.
[4] 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) page 449-457.
[5] 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.
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Citation :

F.Y. AY ANT, "Selberg integral involving a extension of the Hurwitz-Lerch Zeta function , a class of polynomial and the multivariable I-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 2, pp. 137-146, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P512