Transcendental entire functions whose Julia sets contain any infinite collection of quasiconformal copies of quadratic Julia sets

DOI10.3934/DCDS.2019217zbMath1480.37053OpenAlexW2962174986WikidataQ127747012 ScholiaQ127747012MaRDI QIDQ2000211

Koh Katagata

Publication date: 28 June 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019217

zbMATH Keywords

Julia setsquasiconformal mapspolynomial-like mapsquasiregular maps

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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Entire functions of slow growth whose Julia set contains any infinite collection of quasiconformal copies of polynomial Julia sets

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