A coefficient inequality for Bloch functions with applications to uniformly locally univalent functions

DOI10.1007/s00605-008-0548-yzbMath1169.30006OpenAlexW2033960189MaRDI QIDQ1027744

Takao Terada, Toshiyuki Sugawa

Publication date: 30 June 2009

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

Full work available at URL: http://ir.lib.hiroshima-u.ac.jp/00030650

zbMATH Keywords

error functionBloch functionpre-Schwarzian derivativeFekete-Szegö inequalityuniformly locally univalent function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Normal functions of one complex variable, normal families (30D45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (3)

Coefficients problems for Bloch functions ⋮ On the sum of squares of the coefficients of Bloch functions ⋮ Extreme points and support points of families of harmonic Bloch mappings

Cites Work

• Unnamed Item
• A general approach to the Fekete-Szegö problem
• Distortion theorems for Bloch functions
• Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
• A nonlinear extremal problem for Bloch functions with applications to geometric function theory
• Linear-invariante Familien analytischer Funktionen. I
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• The radius of univalence of the error function

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