Numerical solution of the omitted area problem of univalent function theory

DOI10.1007/BF03320989zbMath1007.30009MaRDI QIDQ1848429

Lehel Banjai, Lloyd N. Threfethen

Publication date: 27 March 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

numerical conformal mappingomitted area problemunivalent function theory

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Schwarz-Christoffel-type mappings (30C30)

Related Items (1)

Iceberg‐type problems: Estimating Hidden parts of a continuum from the visible parts

Uses Software

• Matlab
• Schwarz-Christoffel
• SC Toolbox
• fminsearch

Cites Work

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• A proof of the Bieberbach conjecture
• On the omitted area problem
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Spectral Methods in MATLAB
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
• Note on regions omitted by univalent functions
• On Values Omitted by Univalent Functions
• On Regions Omitted By Univalent Functions II
• Rounding corners of gearlike domains and the omitted area problem

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