On a Fractional Differential Operator Involving Multivariable Gimel-Function and Product of General Class of Polynomials

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V63P501

International Journal of Mathematics Trends and Technology

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Volume 63 | Number 1 | Year 2018 | Article Id. IJMTT-V63P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P501

On a Fractional Differential Operator Involving Multivariable Gimel-Function and Product of General Class of Polynomials

Frédéric Ayant

Abstract

In the present paper we use a fractional differential operator and product of general class of multivariable polynomials, Riemann Zeta function and multivariable Gimel-function. On account of the kernel, due to the general class of multivariable polynomials and multivariable Gimelfunction our findings provide interesting unification and extension of a number of results. Some new special cases of our main result are mentioned briefly.

Keywords

Multivariable Gimel-function, multiple integral contours, fractional differential operator, general class of polynomials, Riemann Zeta function.

References

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Citation :

Frédéric Ayant, "On a Fractional Differential Operator Involving Multivariable Gimel-Function and Product of General Class of Polynomials," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 1, pp. 1-8, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P501