Numerical calculation of conformal mapping to a disk minus finitely many horocycles

DOI10.1007/BF03321111zbMath1099.30004MaRDI QIDQ2492093

R. Michael Porter

Publication date: 6 June 2006

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

zbMATH Keywords

cuspSchwarzian derivativeBroyden's methodNumerical conformal mappinghorocycle domain

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 ⋮ Numerical conformal mapping to one-tooth gear-shaped domains and applications ⋮ Gears, pregears and related domains ⋮ Conformal mapping of circular quadrilaterals and Weierstrass elliptic functions

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• cap

Cites Work

• Numerical conformal mapping of circular arc polygons
• An integral representation formula of the Schwarzian derivative
• Three extremal problems for hyperbolically convex functions
• Horocyclically convex univalent functions
• Schwarz-Christoffel Mapping
• Hyperbolically 1-convex functions
• Mapping onto circular arc polygons
• Conformal Mapping of Circular Arc Polygons
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