Some Fractional Derivatives of the Multivariable Gimel-Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V59P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 2 | Year 2018 | Article Id. IJMTT-V59P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P518

Some Fractional Derivatives of the Multivariable Gimel-Function

Frédéric Ayant

Abstract

In this present paper we derive a number of main formulae involving fractional derivarives of the generalized multivariable Gimel-function. We also make use of the generalized Leibnitz’s theorem for fractional derivatives in order to obtain results which involve a product of two multivariable Gimel-function. These results are shown to apply to obtain many new results.

Keywords

Generalized multivariable Gimel-function, multiple integral contours, .fractional derivative, generalized Leibnitz’s theorem.

References

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Citation :

Frédéric Ayant, "Some Fractional Derivatives of the Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 2, pp. 113-122, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P518