Multiple Integral Involving The S Generalized Gauss's Hypergeometric Function ,a Class of Polynomials and Multivariable Aleph-Functions

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V54P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 54 | Number 2 | Year 2018 | Article Id. IJMTT-V54P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V54P519

Multiple Integral Involving The S Generalized Gauss's Hypergeometric Function ,a Class of Polynomials and Multivariable Aleph-Functions

F.Y.Ayant

Abstract

In the present paper we evaluate a generalized multiple integrals involving the product of rhe S generalized Gauss hypergeometric function, the multivariable Aleph-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 the case concerning the multivariable I-function defined by Sharma et al [2].

Keywords

Multivariable Aleph-function, general class of polynomials, multiple integral, S generalized hypergeometric function, multivariable Ifunction.

References

[1] Marichev O.I. Prudnikov A.P. And Brychkow Y.A. Elementay functions. Integrals and series Vol 1. USSR Academyof sciences . Moscow 1986.
[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] C.K. Sharma and P.L. mishra : On the I-function of two variables and its properties. Acta Ciencia Indica Math , 1991, Vol 17 page 667-672.
[4] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page1-13.
[5] Srivastava H.M. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[6]Srivastava H.M. Agarwal P. and Jain S. Generating functions for the generalized Gauss hypergeometric functions. Applied Mathematics and computations 247 (2014), page 358-352.

Citation :

F.Y.Ayant, "Multiple Integral Involving The S Generalized Gauss's Hypergeometric Function ,a Class of Polynomials and Multivariable Aleph-Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 54, no. 2, pp. 176-185, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V54P519