Certain Transformation Formulae for the Multivariable Gimel Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V59P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 2 | Year 2018 | Article Id. IJMTT-V59P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P514

Certain Transformation Formulae for the Multivariable Gimel Function

Frédéric Ayant

Abstract

In this paper three transfotmation of double infinite series involving the multivariable Gimel-function defined here. These transformations have further been used to obtain double summation formulae for the said function. Our results are quite general in character and a number of transformation formulae and summation formulae can be deduced as particular cases.

Keywords

Multivariable Gimel-function, multiple integral contours, transformation formulae,.

References

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Citation :

Frédéric Ayant, "Certain Transformation Formulae for the Multivariable Gimel Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 2, pp. 88-96, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P514