Unbounded domains of normality of entire functions of small growth

DOI10.1017/S0305004199004144zbMath0961.30017MaRDI QIDQ4954269

Jian-Hua Zheng

Publication date: 14 December 2000

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

zbMATH Keywords

Julia setFatou setminimum modulusbounded Fatou component

Mathematics Subject Classification ID

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

Related Items (14)

Some properties of Fatou and Julia sets of transcendental meromorphic functions ⋮ On the Fatou components of two permutable transcendental entire functions ⋮ Uniformly perfect sets and distortion of holomorphic functions ⋮ Baker's conjecture and Eremenko's conjecture for functions with negative zeros ⋮ Functions with no unbounded Fatou components ⋮ Unbounded fast escaping wandering domains ⋮ Bounded Fatou components of composite transcendental entire functions with gaps ⋮ On the radial distribution of Julia sets of entire solutions of \(f^{(n)} + A(z)f = 0\) ⋮ Connectedness properties of the set where the iterates of an entire function are bounded ⋮ On the non-existence of unbounded domains of normality of meromorphic functions ⋮ The iterated minimum modulus and conjectures of Baker and Eremenko ⋮ Functions of small growth with no unbounded Fatou components ⋮ Growth conditions for entire functions with only bounded Fatou components ⋮ Bounded Fatou components of transcendental entire functions with order less than 1/2

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