Curvature and functions with bounded boundary rotation

DOI10.1007/BF01162071zbMath0442.30010OpenAlexW2063841099MaRDI QIDQ1143526

Roman Boutellier

Publication date: 1981

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173072

zbMATH Keywords

variational methodscurvatureconvex functionsbounded boundary rotationlevel curves

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Cites Work

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• Some extremal problems for functions of bounded boundary rotation
• Functions of bounded boundary rotation and convexity
• Bounds on the curvature of level lines under certain classes of univalent and locally univalent mappings

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