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Well-Approximable Points for Julia Sets with Parabolic and Critical Points
- Source :
- Computational Methods and Function Theory, Computational Methods and Function Theory, Springer, 2001, Vol 1, pp.89-97
- Publication Year :
- 2001
- Publisher :
- HAL CCSD, 2001.
-
Abstract
- In this paper we consider rational functions $f\colon \oc \to \oc$ with parabolic and critical points contained in their Julia sets $J(f)$ such that $$ \sum_{n=1}^\infty|(f^n)'(f(c))|^{-1}0 $$ and which are well-approximable by backward iterates of the parabolic periodic points of $f$.
Details
- Language :
- English
- ISSN :
- 16179447 and 21953724
- Database :
- OpenAIRE
- Journal :
- Computational Methods and Function Theory, Computational Methods and Function Theory, Springer, 2001, Vol 1, pp.89-97
- Accession number :
- edsair.dedup.wf.001..405ecb2676eaeb88c1eb6cacd33a32db