Dynamics of structurally finite entire functions with two singular values

DOI10.1007/BF03321721zbMath1155.37321MaRDI QIDQ2378576

Shunsuke Morosawa, Masahiko Taniguchi

Publication date: 13 January 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

transcendental entire functioncomplex dynamicssingular valuestructurally finite entire function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• Dynamical properties of some classes of entire functions
• The iteration of cubic polynomials. I: The global topology of parameter space
• Julia set of the function \(z\exp(z+\mu)\)
• Julia set of the function \(z\text{ exp}(z+\mu)\). II
• Covering structure and dynamical structure of a structurally finite entire function
• A finiteness theorem for a dynamical class of entire functions
• Size of the Julia set of a structurally finite transcendental entire function
• Fatou components whose boundaries have a common curve
• Explicit representation of structurally finite entire functions

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