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

F.Y. AY ANT

doi:https://doi.org/10.14445/22315373/IJMTT-V41P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 1 | Year 2017 | Article Id. IJMTT-V41P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P504

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

F.Y. AY ANT

Abstract

The present paper is evaluated a new Eulerian integral associated with the product of two multivariable Aleph I-functions , the multivariable function defined by Nambisan et al [1] and a class of multivariable polynomials with general arguments . We will study the cases concerning the multivariable I-function defined by Sharma et al [2] and Srivastava-Doust polynomial [4].

Keywords

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

References

[1] 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.
[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] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[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] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[7] 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. AY ANT, "Eulerian integral associated with product of two multivariable Aleph-functions, the multivariable I-function and a class of polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 1, pp. 31-46, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P504