On the Koebe and Bieberbach constants for a hyperbolic planar domain

DOI10.1007/BF02803528zbMath0961.30003OpenAlexW2094749889MaRDI QIDQ1580511

Sylvester E. Rugeihyamu

Publication date: 28 May 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02803528

zbMATH Keywords

hyperbolic domainCarathéodory kernel

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55) Covering theorems in conformal mapping theory (30C25)

Related Items (2)

Compact sets in petals and their backward orbits under semigroups of holomorphic functions ⋮ On the Bieberbach and Koebe constants for sector domains and sector disks

Cites Work

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• Hyperbolic geometry in k-convex regions
• Schwarzian derivatives, the Poincaré metric and the kernel function
• Universal covering maps for variable regions
• Uniformly perfect sets and the Poincaré metric
• Quasi-invariant domain constants
• Linear-invariante Familien analytischer Funktionen. I
• A Characterisation of Convex Domains in the Plane

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