A Fatou-Bieberbach domain in C² which is not Runge

2007/02/07 by Erlend Fornæss Wold, Erlend Fornaess Wold, Wold, Erlend Fornaess
Mathematics · #32E20 #32E30 #32H02 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Rings, Modules, and Algebras #math.CV #msc:32E20 #msc:32E30 #msc:32H02

paper · pdf · doi:10.48550/arxiv.math/0702195

openalex publication_date 2007/02/07 · arxiv created 2007/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an example of a Fatou-Bieberbach domain which is not Runge in C².

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