Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions

DOI10.1016/j.jmaa.2018.07.007zbMath1402.30028arXiv1803.04619OpenAlexW2962774291MaRDI QIDQ1659303

V. N. Dubinin

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04619

zbMATH Keywords

Schwarzian derivativemeromorphic functionscondenser capacitytwo-point distortion theorems

Mathematics Subject Classification ID

Meromorphic functions of one complex variable (general theory) (30D30) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Cites Work

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• Schwarzian norms and two-point distortion
• The Kraus inequality for multivalent functions
• Two-point distortion for univalent functions
• Characteristic properties of Nehari functions
• Two-point distortion theorems for univalent functions
• On two point distortion theorems for bounded univalent regular functions
• Univalent functions without common values in a multiply connected domain
• Robin functions and distortion theorems for regular mappings
• Sharp Distortion Theorems Associated with the Schwarzian Derivative
• On Weighted Distortion in Conformal Mapping II
• Geometric estimates for the Schwarzian derivative
• Condenser Capacities and Symmetrization in Geometric Function Theory

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