On general Eulerian integral of certain product of multivariable Aleph-function, the classes of polynomials and generalized hypergeometric function

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V42P523

International Journal of Mathematics Trends and Technology

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Volume 42 | Number 3 | Year 2017 | Article Id. IJMTT-V42P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V42P523

On general Eulerian integral of certain product of multivariable Aleph-function, the classes of polynomials and generalized hypergeometric function

F.Y. Ayant

Abstract

The object of this paper is to establish an general Eulerian integral involving the product of the multivariable Aleph-function, the general classes 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 I-function defined by Sharma et al [3] and the Srivastava-Daoust polynomial [4].

Keywords

Eulerian integral, multivariable I-function, Lauricella function of several variables, multivariable Aleph-function, generalized hypergeometric function

References

[1] Saigo M. and Saxena R.K. Unified fractional integral formulas for the multivariable H-function I. J.Fractional Calculus 15 (1999), page 91-107.
[2] Saigo M. and Saxena R.K. Unified fractional integral formulas for the multivariable H-function III. J.Fractional Calculus 20 (2001), page 45-68.
[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. A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177(1985), page183-191.
[5] 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.
[6] 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.
[7] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[8] 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, "On general Eulerian integral of certain product of multivariable Aleph-function, the classes of polynomials and generalized hypergeometric function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 42, no. 3, pp. 215-226, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V42P523