Extending the Schwarz-Christoffel formula to universal covering maps of a Riemann surface

DOI10.1007/BF03321850zbMath1280.30005OpenAlexW2097217681MaRDI QIDQ1930690

Jonathan Tsai

Publication date: 11 January 2013

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

Full work available at URL: https://doi.org/10.1007/bf03321850

zbMATH Keywords

Riemann surfacequadratic differentialscovering spaceSchwarz-Christoffel formula

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30)

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

• The Loewner driving function of trajectory arcs of quadratic differentials
• Schwarz-Christoffel mapping of multiply connected domains
• Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions
• Schwarz-Christoffel Mapping
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
• Über die analytische Darstellung von Abbildungsfunktionen, insbesondere von Extremalfunktionen der Theorie der konformen Abbildung.
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