Iterates of meromorphic functions. IV: Critically finite functions
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Publication:1205482
DOI10.1007/BF03323112zbMath0774.30024WikidataQ115181073 ScholiaQ115181073MaRDI QIDQ1205482
Publication date: 1 April 1993
Published in: Results in Mathematics (Search for Journal in Brave)
Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Meromorphic functions of one complex variable (general theory) (30D30)
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Cites Work
- Riemann's mapping theorem for variable metrics
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- Wandering Domains in the Iteration of Entire Functions
- Iterates of Meromorphic Functions II: Examples of Wandering Domains
- Iterates of meromorphic functions: I
- Wandering domains for maps of the punctured plane
- A finiteness theorem for a dynamical class of entire functions
- Iterates of meromorphic functions III: Preperiodic domains
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- Unnamed Item
- Unnamed Item
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