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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2008-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2024 |