Analytic self-maps of the punctured plane

DOI10.1080/17476939808815123zbMath0952.30023OpenAlexW2237538243MaRDI QIDQ4354214

I. N. Baker, Patricia Dominguez

Publication date: 15 September 1997

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939808815123

zbMATH Keywords

connected componentsJulia setFatou setHerman ringorbits of rings

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (8)

Spiders' webs in the punctured plane ⋮ On the connectivity of the Julia sets of meromorphic functions ⋮ On the connectivity of the escaping set in the punctured plane ⋮ The escaping set of transcendental self-maps of the punctured plane ⋮ Herman rings of meromorphic maps with an omitted value ⋮ Escaping Fatou components of transcendental self-maps of the punctured plane ⋮ The dynamics of quasiregular maps of punctured space ⋮ On the formulas of meromorphic functions with periodic Herman rings

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