On the Bieberbach and Koebe Constants for Sector Domains and Sector Disks

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Springer

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Full text can be accessed at http://link.springer.com/article/10.1007/BF02807193
We discuss domain constants related to the classical Bieberbach and Koebe theorems. We find a class of simply connected domains for which the product of these constants behave like extremal domain and gives a better result on Osgood’s inequalities.

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