A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss's Hypergeometric, Fox's H-Function and Gimel Function

Frédéric Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V61P515

International Journal of Mathematics Trends and Technology

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Volume 61 | Number 2 | Year 2018 | Article Id. IJMTT-V61P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P515

A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss's Hypergeometric, Fox's H-Function and Gimel Function

Frédéric Ayant

Abstract

In this paper, we study a pair of a general class of fractional integral operators whose kernel involves the product of a Appell polynomial, Fox’s Hfunction and S-generalized Gauss’s hypergeometric function. We have given several images about the multivariable Gimel-function and generalized incomplete hypergeometric function.

Keywords

Unified fractional integral operators, Appell polynomial, generalized incomplete hypergeometric function, Gimel function, S-generalized Gauss’s hypergeometric function, Fox’s H-function.

References

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Citation :

Frédéric Ayant, "A Study of Unified Fractional Integral Operators Involving S-Generalized Gauss's Hypergeometric, Fox's H-Function and Gimel Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 2, pp. 100-106, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P515