Schwarz-Christoffel formula for multiply connected domains

DOI10.1007/BF03321837zbMath1293.30021OpenAlexW2026947034MaRDI QIDQ1930672

Vladimir V. Mityushev

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/bf03321837

zbMATH Keywords

functional equationconformal mappingRiemann-Hilbert problemPoincaré seriesmultiply connected domainSchwarz-Christoffel formula

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Boundary value problems in the complex plane (30E25)

Related Items

Numerical methods for Riemann-Hilbert problems in multiply connected circle domains ⋮ Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups ⋮ Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series ⋮ Conformal mapping onto a doubly connected circular arc polygonal domain ⋮ On the parameter problem of the Schwarz-Christoffel mapping and moduli of quadrilaterals ⋮ Vortex generated fluid flows in multiply connected domains ⋮ Periodic Schwarz–Christoffel mappings with multiple boundaries per period ⋮ An analytical formula for the effective conductivity of 2D domains with cracks of high density

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

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• Riemann-Hilbert problems for multiply connected domains and circular slit maps
• Conformal mappings to multiply connected polycircular arc domains
• Schwarz-Christoffel mapping of bounded, multiply connected domains
• Computation of multiply connected Schwarz-Christoffel maps for exterior domains
• Conformal mappings between canonical multiply connected domains
• Schwarz-Christoffel mapping of multiply connected domains
• Scalar Riemann–Hilbert Problem for Multiply Connected Domains
• Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions
• Hilbert boundary value problem for multiply connected domains
• Convergence of the Poincaré series for some classical Schottky groups
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
• Conformal mappings to a doubly connected polycircular arc domain

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