Integration of Certain Products Associated with the Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V57P525

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 3 | Year 2018 | Article Id. IJMTT-V57P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P525

Integration of Certain Products Associated with the Multivariable Gimel-Function

Frédéric Ayant

Abstract

In this paper, we evaluate two infinite integrals in terms of the multivariable Gimel-function defined here. The scope of a further generalization of these results, with the aid of the Mellin inversion theorem, is also discussed.

Keywords

Multivariable Gimel-function, multiple integral contours, Whittaker function, Mellin inversion theorem.

References

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Citation :

Frédéric Ayant, "Integration of Certain Products Associated with the Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 3, pp. 172-181, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P525