Eulerian integral associated with product of two multivariable I-functions,
 a class of polynomials and the multivariable A-function

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V43P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 43 | Number 3 | Year 2017 | Article Id. IJMTT-V43P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V43P523

Eulerian integral associated with product of two multivariable I-functions, a class of polynomials and the multivariable A-function

F.Y. Ayant

Abstract

The object of this paper is to establish an general Eulerian integral involving the product of the multivariable A-function, the multivariable I-function defined by Nambisan et al [3], a general class of multivariable polynomials and a generalized hypergeometric function which provide unification and extension of numerous results. We will study the particular case concerning the multivariable H-function defined by Srivastava et al [9] and the Srivastava-Daoust polynomial [7].

Keywords

Eulerian integral, multivariable I-function, generalized Lauricella function of several variables, multivariable A-function, generalized hypergeometric function, class of polynomials, Srivastava-Daoust polynomials

References

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[5] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[6] 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.
[7] 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.
[8] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[9] Srivastava H.M. and Manocha H.L : A treatise of generating functions. Ellis. Horwood.Series. Mathematics and Applications 1984, page 60
[10] 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..

Citation :

F.Y. Ayant, "Eulerian integral associated with product of two multivariable I-functions, a class of polynomials and the multivariable A-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 43, no. 3, pp. 183-196, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V43P523