Pathway Fractional Integral Operator and Its Composition with Gimel Functions.

F.A.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V62P518

International Journal of Mathematics Trends and Technology

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Volume 62 | Number 2 | Year 2018 | Article Id. IJMTT-V62P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P518

Pathway Fractional Integral Operator and Its Composition with Gimel Functions.

F.A.Ayant

Abstract

Fractional integral operators are extensively used in a large number of areas of mathematical analysis. This paper provides the images of the products of multivariable Gimel-function and generalized multivariable polynomial under the Pathway fractional integral operator and its compositions. The main results are quite general in nature. Further, some interesting special cases are given.

Keywords

Fractional integral operator, Multivariable Gimel-function, Srivastava polynomial, Pathway model

References

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Citation :

F.A.Ayant, "Pathway Fractional Integral Operator and Its Composition with Gimel Functions.," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 2, pp. 128-133, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P518