Selberg integral involving the incomplete generalized hypergeometric function,a class of polynomials and multivariable Aleph-functions

F.Y Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V40P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 1 | Year 2016 | Article Id. IJMTT-V40P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P508

Selberg integral involving the incomplete generalized hypergeometric function,a class of polynomials and multivariable Aleph-functions

F.Y Ayant

Citation :

F.Y Ayant, "Selberg integral involving the incomplete generalized hypergeometric function,a class of polynomials and multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 1, pp. 92-103, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P508

Abstract

In the present paper we evaluate the modified Selberg integral involving the product of a multivariable Aleph-functions, a extension of the incomplete generalized hypergeometric function and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-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

Multivariable Aleph-function, general class of polynomials, modified Selberg integral, incomplete generalized hypergeometric function , multivariable I-function.

References

[1] Andrew G.G and Askey R. Special function. Cambridge. University. Press 1999.
[2] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[3]Srivastava H.M. Chaudhry M.A and Agarwal R.P. The incomplete Pochhammer symbols and their in applications to hypergeometric and related functions. Integral Transforms ans Special Functions 23 (2012), page 659-683.
[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.
[6] 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.