Univalent analytic functions and the Poincaré metric

DOI10.2996/kmj/1138039216zbMath0726.30037OpenAlexW1967118999MaRDI QIDQ802799

Shinji Yamashita

Publication date: 1990

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039216

zbMATH Keywords

Schwarzian derivativehyperbolic metric

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (5)

Boundary behaviors of the Poincaré density and its derivatives near a nonisolated boundary point ⋮ Behavior of domain constants under conformal mappings ⋮ The derivative of a holomorphic function and estimates of the Poincaré density ⋮ The conformal radius as a function and its gradient image ⋮ Characterizations of hyperbolically convex regions

Cites Work

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• Schwarzian derivatives, the Poincaré metric and the kernel function
• Removable sets of analytic functions satisfying a Lipschitz condition
• Almost locally univalent functions
• Schlicht holomorphic functions and the Riccati differential equation
• Uniformly perfect sets and the Poincaré metric
• Linear-invariante Familien analytischer Funktionen. I
• Singular measures and domains not of Smirnov type
• On the derivative of some analytic functions
• A Uniqueness Theorem for Beltrami Equations
• The Area of the Complement of a Conformally Rigid Domain
• The Extreme Points of &#931
• Local Schlichtness of a Function Meromorphic in the Disk
• The Schwarzian derivative and schlicht functions

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