On the Koebe and Bieberbach Constants for a Hyperbolic Planar Domain

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Springer

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Full text can be accessed at http://link.springer.com/article/10.1007/BF02803528
We discuss domain constants related to the classical Bieberbach and Koebe theorems. We find a class of simply connected domains for which the value of these constants is extremal and investigate the relationship between the geometry of a sequence of hyperbolic domains and the associated sequence of domain constants.

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