Some transcendental entire functions with irrationally indifferent fixed points

DOI10.2996/kmj45304zbMath1503.30072OpenAlexW4311072578MaRDI QIDQ2105763

Masashi Kisaka, Hiroto Naba

Publication date: 8 December 2022

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj45304

zbMATH Keywords

fixed pointsentire functionsquasiconformal surgerySiegel disksCremer points

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)

Cites Work

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• Quadratic Julia sets with positive area
• Dynamical properties of some classes of entire functions
• On Siegel disks of a class of entire maps
• Siegel disks with critical points in their boundaries
• Dynamics of cubic Siegel polynomials
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• Iteration of analytic functions
• Siegel discs, Herman rings and the Arnold family
• Bounded-type Siegel disks of a one-dimensional family of entire functions
• On the dynamics of polynomial-like mappings
• Lebesgue measure of escaping sets of entire functions
• On holomorphic critical quasi-circle maps
• Quasiconformal Surgery in Holomorphic Dynamics
• Dynamics in One Complex Variable. (AM-160)
• Explicit representation of structurally finite entire functions
• Non-linearizability of \(n\)-subhyperbolic polynomials at irrationally indifferent fixed points

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