Fractional Calculus of Analytic Functions Concerned with Möbius Transformations

Let A be the class of functions f(z) in the open unit disk U with f(0)=0 and f′(0)=1. Also, let w(ζ) be a Möbius transformation in U for some z∈U. Applying the Möbius transformations, we consider some properties of fractional calculus (fractional derivatives and fractional integrals) of f(z)∈A. Also...

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Bibliographic Details
Main Authors: Nicoleta Breaz, Daniel Breaz, Shigeyoshi Owa
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/6086409