The iteration of entire functions of small growth

DOI10.1017/S0305004100071395zbMath0782.30023MaRDI QIDQ3142754

G. M. Stallard

Publication date: 28 February 1994

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

zbMATH Keywords

iterationJulia setentire functionsFatou setminimum modulusset of normality

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (11)

Composite entire functions with no unbounded Fatou components ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Functions with no unbounded Fatou components ⋮ Dynamics of slowly growing entire functions ⋮ On the Fatou set of an entire function with gaps ⋮ Bounded domains of the Fatou set of an entire function ⋮ Boundedness of Fatou components of holomorphic maps ⋮ Escaping points of entire functions of small growth ⋮ 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

Cites Work

• Zusammensetzungen ganzer Funktionen
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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