Conformal mappings to multiply connected polycircular arc domains

DOI10.1007/BF03321882zbMath1243.30008MaRDI QIDQ766039

Athanassios S. Fokas, Christopher C. Green, Darren G. Crowdy

Publication date: 22 March 2012

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

zbMATH Keywords

Schwarzian derivativeconformal mapautomorphic functionSchottky-Klein prime functionpolycircular arc

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Schwarz-Christoffel-type mappings (30C30)

Related Items

Conformal moduli of symmetric circular quadrilaterals with cusps ⋮ Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the n-vertex case ⋮ Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups ⋮ Analytical solutions for two hollow vortex configurations in an infinite channel ⋮ Schwarz-Christoffel formula for multiply connected domains ⋮ Conformal mapping onto a doubly connected circular arc polygonal domain ⋮ Geometry-Fitted Fourier-Mellin Transform Pairs ⋮ CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS ⋮ Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI ⋮ The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains ⋮ Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization ⋮ Conformal capacity and polycircular domains

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• Algorithm 785
• cap
• SKPrime

Cites Work

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• The Schottky-Klein prime function on the Schottky double of planar domains
• Multiply connected quadrature domains and the Bergman kernel function
• Schwarz-Christoffel mapping of bounded, multiply connected domains
• Numerical conformal mapping of circular arc polygons
• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• Conformal mappings between canonical multiply connected domains
• Schwarz-Christoffel mapping of multiply connected domains
• Schwarz--Christoffel Mapping of the Annulus
• Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions
• Curvature, Circles, and Conformal Maps
• Algorithm 785
• Schwarz-Christoffel Mapping
• Conformal Mapping of Circular Arc Polygons
• Constructing Multiply Connected Quadrature Domains
• Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
• The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
• Conformal mappings to a doubly connected polycircular arc domain