Directional convexity of level lines for functions convex in a given direction

DOI10.1090/S0002-9939-02-06675-3zbMath1015.30002OpenAlexW1708579411MaRDI QIDQ4791487

Jan Szynal, Dmitry Vladimirovich Prokhorov

Publication date: 28 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06675-3

zbMATH Keywords

functions convex in one directionlevel curves of holomorphic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20)

Related Items

Univalent harmonic mappings convex in one direction

Cites Work

• Level curves of functions convex in the direction of an axis
• On schlicht mappings to domains convex in one direction
• On the preservation of direction-convexity and the Goodman-Saff conjecture
• On Univalent Functions Convex in One Direction
• Harmonic univalent functions