Some Ramanujan Integrals Associated with Generalized Riemann Zeta Function and Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V60P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 3 | Year 2018 | Article Id. IJMTT-V60P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P523

Some Ramanujan Integrals Associated with Generalized Riemann Zeta Function and Multivariable Gimel-Function

Frédéric Ayant

Abstract

In this paper, some Ramanujan integrals associated with generalized Riemann Zeta function and multivariable Gimel-function are evaluated. Importance of the results established in this paper lies in the fact that they involve gimel-function, which is sufficiently general in nature and capable of yieldind a large number of results merely by specializing the parameters therein.

Keywords

Multivariable Gimel-function, multiple integral contours, Ramanujan integrals, generalized Riemann Zeta function.

References

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Citation :

Frédéric Ayant, "Some Ramanujan Integrals Associated with Generalized Riemann Zeta Function and Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 3, pp. 147-154, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P523