Hyperbolic geometry in k-convex regions

DOI10.2140/pjm.1990.141.333zbMath0726.30036OpenAlexW2041086896MaRDI QIDQ802798

David Minda, Diego A. Mejía

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2140/pjm.1990.141.333

zbMATH Keywords

hyperbolic metrick-convex regions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (12)

Intrinsic geometry and boundary structure of plane domains ⋮ Length and area estimates for (hyperbolically) convex conformal mappings ⋮ On the logarithmic gradient of Poincaré metric ⋮ Conformal mapping, convexity and total absolute curvature ⋮ Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains ⋮ Spherical convexity and hyperbolic metric ⋮ Two-point distortion theorems for spherically convex functions ⋮ A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications ⋮ Convex Functions with Restricted Curvature ⋮ Quasi-invariant domain constants ⋮ On the Koebe and Bieberbach constants for a hyperbolic planar domain ⋮ On hyperbolically convex functions

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