On the accessible points in the Julia sets of some entire functions

Volume 180 / 2003

Bogusława Karpińska Fundamenta Mathematicae 180 (2003), 89-98 MSC: Primary 37F10, 30D05. DOI: 10.4064/fm180-1-5


We prove that for some families of entire functions whose Julia set is the complement of the basin of attraction every branch of a tree of preimages starting from this basin is convergent.


  • Bogusława KarpińskaFaculty of Mathematics and Information Sciences
    Technical University of Warsaw
    Pl. Politechniki 1
    00-661 Warszawa, Poland

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