On the Koebe and Bieberbach Constants for a Hyperbolic Planar Domain
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Springer
Abstract
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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http://link.springer.com/article/10.1007/BF02803528
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Citation
Rugeihyamu, S.E., 2000. On the Koebe and Bieberbach constants for a hyperbolic planar domain. Israel Journal of Mathematics, 118(1), pp.369-378.