Finite integral involving the generalized multiple Zeta-function, a general class of
polynomials and multivariable Aleph-functions dilogarithm function
 and the multivariable I-function

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V48P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 1 | Year 2017 | Article Id. IJMTT-V48P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P508

Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions dilogarithm function and the multivariable I-function

F.Y. Ayant

Abstract

In the present paper we evaluate a generalized finite integral involving the product of generalized multiple zeta-function, the dilogarithm function, the multivariable Aleph-function, the multivariable I-function defined by Prasad and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Aleph-function of several variables which is sufficiently general in nature and capable to yielding a large of results merely by specializating the parameters their in.

Keywords

Multivariable Aleph-function, general class of polynomial, multiple Zeta-function, dilogarithm function, multivariable I-function, multivariable H-function

References

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Citation :

F.Y. Ayant, "Finite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions dilogarithm function and the multivariable I-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 1, pp. 60-71, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P508