Monotonicity theorems for analytic functions centered at infinity

DOI10.1090/S0002-9939-2014-12084-3zbMath1300.30012MaRDI QIDQ3190336

Galatia Cleanthous

Publication date: 16 September 2014

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

zbMATH Keywords

conformal mappingsSchwarz lemmaunivalent functionslogarithmic capacitymeromorphic functionsmonotonicity theorems

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Covering theorems in conformal mapping theory (30C25)

Related Items (4)

Length and area estimates for (hyperbolically) convex conformal mappings ⋮ Growth theorems for holomorphic functions under geometric conditions for the image ⋮ Growth and monotonicity properties for elliptically schlicht functions ⋮ Hyperbolic geometric versions of Schwarz’s lemma

Cites Work

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• On a uniqueness theorem in conformal mapping
• On the diameter of planar curves and Fourier coefficients
• Area inequality and \(Q_{p}\) norm
• Area, capacity and diameter versions of Schwarz’s Lemma
• A Uniqueness Result in Conformal Mapping. II
• Versions of Schwarz's Lemma for Condenser Capacity and Inner Radius
• A Uniqueness Result in Conformal Mapping

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