Fractional Calculus Operator Associated with Wright's Function

F.Y.Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V57P521

International Journal of Mathematics Trends and Technology

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Volume 57 | Number 3 | Year 2018 | Article Id. IJMTT-V57P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P521

Fractional Calculus Operator Associated with Wright's Function

F.Y.Ayant

Abstract

The present paper aims at the study and derivation of Saigo generalized fractional integral operator involving product of multivariable Gimel-function , generalized polynomials and Wright function. On account of the most general nature of the operator, multivariable Aleph-function, generalized polynomials and Wright's function occuring in the main result, a large number of known and new results involving Riemann-Liouville, Erdelyi-Kober fractional differential operator, Bessel function, Mittag-leffler function follows as special cases of our main finding.

Keywords

Multivariable Gimel-function, Fox-Wright function, Saigo fractional integral operator, generalized multivariable polynomials, Appell function.

References

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Citation :

F.Y.Ayant, "Fractional Calculus Operator Associated with Wright's Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 3, pp. 140-147, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P521