Certain infinite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V51P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 1 | Year 2017 | Article Id. IJMTT-V51P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P505

Certain infinite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions

F.Y.Ayant

Citation :

F.Y.Ayant, "Certain infinite integral involving the generalized multiple Zeta-function, a general class of polynomials and multivariable Aleph-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 1, pp. 33-42, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P505

Abstract

In the present paper we evaluate an infinite integral involving the product of generalized multivariable Zeta-function, multivariable Aleph-functions and general class of polynomials of several variables. The importance of the result established in this paper lies in the fact they involve the Alephfunction 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, generalized multiple Zeta-function.

References

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