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

Bogusława Karpińska

Fundamenta Mathematicae (2003)

  • Volume: 180, Issue: 1, page 89-98
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Bogusława Karpińska. "On the accessible points in the Julia sets of some entire functions." Fundamenta Mathematicae 180.1 (2003): 89-98. <http://eudml.org/doc/283285>.

@article{BogusławaKarpińska2003,
abstract = {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.},
author = {Bogusława Karpińska},
journal = {Fundamenta Mathematicae},
keywords = {Julia set; basin of attraction; entire maps},
language = {eng},
number = {1},
pages = {89-98},
title = {On the accessible points in the Julia sets of some entire functions},
url = {http://eudml.org/doc/283285},
volume = {180},
year = {2003},
}

TY - JOUR
AU - Bogusława Karpińska
TI - On the accessible points in the Julia sets of some entire functions
JO - Fundamenta Mathematicae
PY - 2003
VL - 180
IS - 1
SP - 89
EP - 98
AB - 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.
LA - eng
KW - Julia set; basin of attraction; entire maps
UR - http://eudml.org/doc/283285
ER -

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