Connectedness properties of julia sets of transcendental entire functions

DOI10.1080/17476939708814991zbMath0877.30011OpenAlexW2089153677WikidataQ122900902 ScholiaQ122900902MaRDI QIDQ4351456

Patricia Dominguez

Publication date: 16 November 1997

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939708814991

zbMATH Keywords

iterationentire functionJulia setconnectedburied component

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (13)

Semigroups of transcendental entire functions and their dynamics ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Unnamed Item ⋮ On the connectivity of the escaping set in the punctured plane ⋮ Dynamics of slowly growing entire functions ⋮ Connectedness properties of the set where the iterates of an entire function are bounded ⋮ Residual Julia sets for meromorphic functions with countably many essential singularities ⋮ Residual Julia set for functions with the Ahlfors' Property ⋮ Area of Fatou sets of trigonometric functions ⋮ A new proof of the Ahlfors five islands theorem ⋮ A STUDY OF THE DYNAMICS OF λsinz ⋮ Transcendental Julia sets with fractional packing dimension ⋮ Escaping points of meromorphic functions with a finite number of poles

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