Julia sets for certain rational functions
type: Item
instance of: scholarly article
title: Julia sets for certain rational functions
zbMATH Open document ID: 0638.30027
DOI: 10.1016/0196-8858(88)90007-3
author: John R. Kinney
author: Tom S. Pitcher
published in: Advances in Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let R denote a rational function of the form \[ R(z)=az- \sum^{n}_{1}\{b_ i/(z-c_ i)\}, \] where \(a>1\), \(b_ i\geq 0\) and \(c_ 1<c_ 2<...<c_ n\). The Julia set J of R is a real Cantor set. The authors give upper and lower bounds for the Hausdorff dimension of J.
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 4040252
zbMATH Keywords: Julia set
zbMATH Keywords: Cantor set
zbMATH Keywords: Hausdorff dimension
Wikidata QID: Q121096847
MaRDI profile type: Publication
full work available at URL: 0196-8858(88)90007-3
OpenAlex ID: W2091147215
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description: scientific article; zbMATH DE number 4040252