Conformal mappings onto domains with arbitrarily specified boundary shapes

DOI10.1007/BF02803393zbMath0528.30006OpenAlexW1988900138MaRDI QIDQ786967

Andrew N. Harrington

Publication date: 1982

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02803393

zbMATH Keywords

complex potentialslemniscateconformal mappings of multiply connected domains

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Schwarz-Christoffel-type mappings (30C30) Covering theorems in conformal mapping theory (30C25)

Related Items (9)

Transboundary extremal length ⋮ Conformal uniformization and packings ⋮ Conformal uniformization of planar packings by disk packings ⋮ Oded Schramm: from circle packing to SLE ⋮ Conformal mappings onto multiply connected regions with specified boundary shapes. A preliminary discussion of computer implementation ⋮ Existence and uniqueness of rectilinear slit maps ⋮ Uniformization by rectangular domains: a path from slits to squares ⋮ Domain-filling circle packings ⋮ Square tilings with prescribed combinatorics

Cites Work

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• Über konforme Abbildungen, die gewisse Gebietsfunktionen in elementare Funktionen transformieren. I
• Somge problems related to iterative methods in conformal mappings
• On the Conformal Mapping of Multiply Connected Regions
• Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
• Uniqueness Theorems for Conformal Mapping of Multiply Connected Domains
• A General Theorem on Conformal Mapping of Multiply Connected Domains

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