Siegel disks of the tangent family

We study Siegel disks in the dynamics of functions from the tangent family. In particular, we prove that a Siegel disk is unbounded if and only if the boundary of its image contains at least one asymptotic value. Moreover, by using quasiconformal surgery we also construct functions in the above fami...

Full description

Saved in:
Bibliographic Details
Published inAnnales Fennici Mathematici Vol. 46; no. 1; pp. 593 - 600
Main Authors Cui, Weiwei, Nie, Hongming
Format Journal Article
LanguageEnglish
Published 01.01.2021
Subjects
Matematik
Matematisk analys
Mathematical Analysis
Mathematics
Meromorphic functions
Natural Sciences
Naturvetenskap
Quasiconformal surgery
Siegel disks
Tangent family
Online AccessGet full text

Cover

More Information
Summary:We study Siegel disks in the dynamics of functions from the tangent family. In particular, we prove that a Siegel disk is unbounded if and only if the boundary of its image contains at least one asymptotic value. Moreover, by using quasiconformal surgery we also construct functions in the above family with bounded Siegel disks.
ISSN:2737-0690
2737-114X
DOI:10.5186/aasfm.2021.4635