HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS
We observe that in contrast to the class S, the extremal functions for the bound of higher order Schwarzian derivatives for the class S c of convex univalent functions are different. We prove the sharp bound for three first consecutive derivatives.
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2008-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2024 |
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doaj-41683a7be5094420b549cd0563fdb5e1 |
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Article |
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doaj-41683a7be5094420b549cd0563fdb5e12021-07-02T02:55:02ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322008-01-01152008612HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOSDORFF M.SZYNAL J.We observe that in contrast to the class S, the extremal functions for the bound of higher order Schwarzian derivatives for the class S c of convex univalent functions are different. We prove the sharp bound for three first consecutive derivatives.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2024 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
DORFF M. SZYNAL J. |
| spellingShingle |
DORFF M. SZYNAL J. HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS Проблемы анализа |
| author_facet |
DORFF M. SZYNAL J. |
| author_sort |
DORFF M. |
| title |
HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS |
| title_short |
HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS |
| title_full |
HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS |
| title_fullStr |
HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS |
| title_full_unstemmed |
HIGHER ORDER SCHWARZIAN DERIVATIVES FOR CONVEX UNIVALENT FUNCTIOS |
| title_sort |
higher order schwarzian derivatives for convex univalent functios |
| publisher |
Petrozavodsk State University |
| series |
Проблемы анализа |
| issn |
2306-3424 2306-3432 |
| publishDate |
2008-01-01 |
| description |
We observe that in contrast to the class S, the extremal functions for the bound of higher order Schwarzian derivatives for the class S c of convex univalent functions are different. We prove the sharp bound for three first consecutive derivatives. |
| url |
http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2024 |
| work_keys_str_mv |
AT dorffm higherorderschwarzianderivativesforconvexunivalentfunctios AT szynalj higherorderschwarzianderivativesforconvexunivalentfunctios |
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