A general Eulerian integral associated with product of three multivariable Aleph-functions

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V42P519

International Journal of Mathematics Trends and Technology

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Volume 42 | Number 2 | Year 2017 | Article Id. IJMTT-V42P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V42P519

A general Eulerian integral associated with product of three multivariable Aleph-functions

F.Y. Ayant

Abstract

The present paper is evaluated a new Eulerian integral associated with the product of three multivariable Aleph-functions and a generalized hypergeometric function with general arguments . We will study the cases concerning the multivariable I-function defined by Sharma et al [2] and Srivastava-Daoust polynomial [3].

Keywords

Eulerian integral, multivariable I-function, generalized hypergeometric 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] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[3] Srivastava H.M. and Karlsson P.W. Multiple Gaussian Hypergeometric series. Ellis.Horwood. Limited. New-York, Chichester. Brisbane. Toronto , 1985.
[4] Srivastava H.M. and Manocha H.L : A treatise of generating functions. Ellis. Horwood.Series. Mathematics and Applications 1984, page 60.
[5] 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, "A general Eulerian integral associated with product of three multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 42, no. 2, pp. 159-179, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V42P519