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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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/6086409 |
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| author | Nicoleta Breaz Daniel Breaz Shigeyoshi Owa |
| author_facet | Nicoleta Breaz Daniel Breaz Shigeyoshi Owa |
| author_sort | Nicoleta Breaz |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-bb475ab2eb7241258b4e393b17fb65fc |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bb475ab2eb7241258b4e393b17fb65fc2025-08-20T02:18:50ZengWileyJournal 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 |
| spellingShingle | Nicoleta Breaz Daniel Breaz Shigeyoshi Owa Fractional Calculus of Analytic Functions Concerned with Möbius Transformations Journal of Function Spaces |
| title | 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_short | Fractional Calculus of Analytic Functions Concerned with Möbius Transformations |
| title_sort | fractional calculus of analytic functions concerned with mobius transformations |
| url | http://dx.doi.org/10.1155/2016/6086409 |
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