Maximally and non-maximally fast escaping points of transcendental entire functions

DOI10.1017/S0305004115000018zbMath1371.37092arXiv1403.7362MaRDI QIDQ5360311

David J. Sixsmith

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7362

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (12)

Extended escaping set for meromorphic functions outside a countable set of transcendental singularities ⋮ On a result of Hayman concerning the maximum modulus set ⋮ Slow escaping points of quasiregular mappings ⋮ The maximum modulus set of a polynomial ⋮ ON THE ITERATIONS AND THE ARGUMENT DISTRIBUTION OF MEROMORPHIC FUNCTIONS ⋮ Connectedness properties of the set where the iterates of an entire function are unbounded ⋮ The maximum modulus set of a quasiregular map ⋮ On the set where the iterates of an entire function are neither escaping nor bounded ⋮ On slow escaping and non-escaping points of quasimeromorphic mappings ⋮ Dynamical sets whose union with infinity is connected ⋮ The iterated minimum modulus and conjectures of Baker and Eremenko ⋮ Variations on a theme of Hardy concerning the maximum modulus

Cites Work

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• Baker's conjecture and Eremenko's conjecture for functions with negative zeros
• An entire function with simply and multiply connected wandering domains
• Multiply connected domains of normality in iteration theory
• Escaping points of meromorphic functions with a finite number of poles
• Escaping points of entire functions of small growth
• Functions of small growth with no unbounded Fatou components
• Complex dynamics
• Simply connected fast escaping Fatou components
• On fundamental loops and the fast escaping set
• The structure of spider's web fast escaping sets
• Slow escaping points of meromorphic functions
• Wandering Domains in the Iteration of Entire Functions
• Entire functions for which the escaping set is a spider's web
• On questions of Fatou and Eremenko
• The escaping set of the exponential
• On semiconjugation of entire functions
• Iteration of meromorphic functions
• Maximum curves and isolated points of entire functions
• Fast escaping points of entire functions
• Connectedness properties of the set where the iterates of an entire function are bounded

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