Weighted hypergeometric functions and fractional derivative

Weighted hypergeometric functions and fractional derivative

Abstract We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator. Then some of the considered hypergeomet...

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Bibliographic Details
Main Authors: JE Restrepo, A Kılıçman, P Agarwal, Omer Altun
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Advances in Difference Equations
Subjects:
weighted Caputo fractional derivative
weighted hypergeometric function
generating function
Srivastava polynomials
generalized Mittag-Leffler function
α-capacity
Online Access:http://link.springer.com/article/10.1186/s13662-017-1165-7

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http://link.springer.com/article/10.1186/s13662-017-1165-7

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