Finite Double Integrals Involving Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V61P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P523

Finite Double Integrals Involving Multivariable Gimel-Function

Frédéric Ayant

Citation :

Frédéric Ayant, "Finite Double Integrals Involving Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 164-172, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P523

Abstract

In this paper, we establish three finite double integrals involving the multivariable Gimel function with general arguments, general class of polynomials, special functions and Aleph-function. Importance of our findings lies in the fact that they involve the multivariable Gimel function, which are the sufficiently general in nature and are capable of yielding a large number of simpler and useful results merely by specializing the parameters in them. For the sake of illustration, only one particular case of this integral obtained has been given which is also new and is of interest.

Keywords

Multivariable Gimel-function, Mellin-Barnes integrals contour , finite double integrals, class of multivariable polynomials, Aleph-function.

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