Fractional Calculus of the Extended Hypergeometric Function

Fractional Calculus of the Extended Hypergeometric Function

Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equa...

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Bibliographic Details
Main Authors: Şahin Recep, Yağcı Oğuz
Format: Article
Language:English
Published: Sciendo 2020-03-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
gamma function
beta function
hypergeometric functions
extended hypergeometric function
integral transforms
fractional calculus operators
generating functions
primary 33c15,33c20,33c60, 33d70
secondary 26a33,33c65,33c90
Online Access:https://doi.org/10.2478/amns.2020.1.00035

Internet

https://doi.org/10.2478/amns.2020.1.00035

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