Classical families of univalent functions in the Hornich space

DOI10.1007/BF01295667zbMath0572.30009OpenAlexW2067879227MaRDI QIDQ1062171

Wolfram Koepf

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178241

zbMATH Keywords

extreme pointsclose-to-convex functionsfunctions with bounded boundary rotationRiesz-Herglotz representationHornich space

Mathematics Subject Classification ID

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

Related Items (4)

On certain families of analytic functions in the Hornich space ⋮ Preserving properties and pre-Schwarzian norms of nonlinear integral transforms ⋮ On concave univalent functions ⋮ Hornich operations on functions of bounded boundary rotations and order \(\alpha\)

Cites Work

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• Univalent functions. Selected topics
• Close-to-convex functions and their extreme points in Hornich space
• Untersuchungen über schlichte Abbildungen
• Ein Banachraum analytischer Funktionen in Zusammenhang mit den schlichten Funktionen
• A Banach space of locally univalent functions
• Close-to-convex schlicht functions
• On Close-to-Convex Analytic Functions
• On functions of bounded boundary rotation I
• On the theory of univalent functions

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