Locally convex functions and the Schwarzian derivative

DOI10.1007/BF02764954zbMath0697.30020MaRDI QIDQ910886

Reuven Harmelin

Publication date: 1989

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

zbMATH Keywords

Schwarzian derivativeconvex functionslinearly invariant families

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Geometric function theory (30C99)

Related Items

Complete linear Weingarten surfaces of Bryant type. A Plateau problem at infinity, Behavior of domain constants under conformal mappings, Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains, Extension of convex mappings of order \(\alpha \) of the unit disk in \(\mathbb C\) to convex mappings of the unit ball in \(\mathbb C^n\), Euclidean maximum moduli of plane domains and their applications, Univalent mappings associated with the Roper-Suffridge extension operator

Cites Work

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• Shorter Notes: A Coefficient Inequality for Convex Univalent Functions
• The Schwarzian derivative and schlicht functions