Fractional Calculus of Analytic Functions Concerned with Möbius Transformations

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...

Full description

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
id doaj-bb475ab2eb7241258b4e393b17fb65fc
record_format Article
spelling doaj-bb475ab2eb7241258b4e393b17fb65fc2020-11-24T22:04:17ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/60864096086409Fractional Calculus of Analytic Functions Concerned with Möbius TransformationsNicoleta Breaz0Daniel Breaz1Shigeyoshi Owa2Department of Mathematics-Informatics, Faculty of Sciences, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, RomaniaDepartment of Mathematics-Informatics, Faculty of Sciences, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, RomaniaDepartment of Mathematics, Faculty of Education, Yamato University, Katayama 2-5-1, Suita, Osaka 564-0082, JapanLet 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, some interesting examples for fractional calculus are given.http://dx.doi.org/10.1155/2016/6086409
collection DOAJ
language English
format Article
sources DOAJ
author Nicoleta Breaz
Daniel Breaz
Shigeyoshi Owa
spellingShingle Nicoleta Breaz
Daniel Breaz
Shigeyoshi Owa
Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
Journal of Function Spaces
author_facet Nicoleta Breaz
Daniel Breaz
Shigeyoshi Owa
author_sort Nicoleta Breaz
title Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
title_short Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
title_full Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
title_fullStr Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
title_full_unstemmed Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
title_sort fractional calculus of analytic functions concerned with möbius transformations
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description 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, some interesting examples for fractional calculus are given.
url http://dx.doi.org/10.1155/2016/6086409
work_keys_str_mv AT nicoletabreaz fractionalcalculusofanalyticfunctionsconcernedwithmobiustransformations
AT danielbreaz fractionalcalculusofanalyticfunctionsconcernedwithmobiustransformations
AT shigeyoshiowa fractionalcalculusofanalyticfunctionsconcernedwithmobiustransformations
_version_ 1725829651772735488

Similar Items