Bounded domains of the Fatou set of an entire function

DOI10.1007/BF02802495zbMath1054.37028MaRDI QIDQ5937668

Yue Fei Wang

Publication date: 25 November 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

growthentire functionJulia setorderFatou componentFatou 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) 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)

Related Items (7)

Composite entire functions with no unbounded Fatou components ⋮ Functions with no unbounded Fatou components ⋮ Bounded Fatou components of composite transcendental entire functions with gaps ⋮ On the radial distribution of Julia sets of entire solutions of \(f^{(n)} + A(z)f = 0\) ⋮ Boundedness of Fatou components of holomorphic maps ⋮ Functions of small growth with no unbounded Fatou components ⋮ Bounded Fatou components of transcendental entire functions with order less than 1/2

Cites Work

• Complex dynamics
• Zusammensetzungen ganzer Funktionen
• The iteration of entire functions of small growth
• Unbounded domains of normality
• Iteration of meromorphic functions
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