On the Koebe and Bieberbach constants for a hyperbolic planar domain |
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| Authors: | Sylvester E. Rugeihyamu |
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| Affiliation: | (1) Department of Mathematics, University College, Cork, Ireland;(2) Present address: Mathematics Department, University of Dar-Es-Salaam, P.O. Box 35062, Dar-Es-Salaam, Tanzania |
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| 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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