On the existence of strips inside domains convex in one direction

DOI10.1007/s11854-018-0003-5zbMath1407.30005OpenAlexW2789247580WikidataQ130188545 ScholiaQ130188545MaRDI QIDQ1782074

Dimitrios Betsakos

Publication date: 18 September 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-018-0003-5

zbMATH Keywords

univalent functionsconvexity in positive direction

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (3)

Quasi-geodesics and backward orbits under semigroups of holomorphic functions ⋮ On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk ⋮ Harmonic measures, Green potentials and semigroups of holomorphic functions

Cites Work

• A distortion theorem for functions convex in one direction
• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• Angle distortion theorems for starlike and spirallike functions with respect to a boundary point
• Analytic flows on the unit disk: angular derivatives and boundary fixed points
• On the class of functions convex in the negative direction of the imaginary axis
• A reflection principle for the hyperbolic metric and applications to geometric function theory
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