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

F.Y Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V40P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 40 | Number 1 | Year 2016 | Article Id. IJMTT-V40P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P501

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

F.Y Ayant

Citation :

F.Y Ayant, "Eulerian integral associated with product of two multivariable I-functions, a generalized Lauricella function and a class of polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 1, pp. 1-13, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P501

Abstract

The present paper is evaluated a new Eulerian integral associated with the product of two multivariable I-functions defined by Prasad [1] a generalized Lauricella function and a class of multivariable polynomials with general arguments . Several particular cases are given.

Keywords

Eulerian integral, multivariable I-function, generalized Lauricella function of several variables, multivariable H-function, generalized hypergeometric function, class of polynomials.

References

[1] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page 231-237.
[2] Saigo M. and Saxena R.K. Unified fractional integral formulas for the multivariable H-function I. J.Fractional Calculus 15 (1999), page 91-107.
[3] 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.
[4] 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.
[5] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[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. Personal adress.