Entire functions whose Julia sets include any finitely many copies of quadratic Julia sets

DOI10.1088/1361-6544/AA6C01zbMath1380.37100OpenAlexW2611786232WikidataQ121320502 ScholiaQ121320502MaRDI QIDQ5348110

Koh Katagata

Publication date: 14 August 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aa6c01

zbMATH Keywords

Julia setquasiregular mappolynomial-like mapquasiconform map

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) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets ⋮ On the formulas of meromorphic functions with periodic Herman rings

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