The rational maps \(F_\lambda(z)= z^m+ \lambda/z^d\) have no Herman rings
type: Item
instance of: scholarly article
title: The rational maps \(F_\lambda(z)= z^m+ \lambda/z^d\) have no Herman rings
zbMATH Open document ID: 1206.37025
author: Weiyuan Qiu
author: Yingqing Xiao
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2010-12-14T00:00:00Z
Mathematics Subject Classification ID: 37F10
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37F50
zbMATH DE Number: 5826103
zbMATH Keywords: Julia set
zbMATH Keywords: Herman ring
zbMATH Keywords: rational map
MaRDI profile type: Publication
full work available at URL: s12044-010-0044-x
OpenAlex ID: W2013637022
cites work: The rational maps $z\mapsto 1+1/\omega z^d$ have no Herman rings
cites work: Q4002072
cites work: Structure of the McMullen domain in the parameter planes for rational maps
cites work: The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes
cites work: The escape trichotomy for singularly perturbed rational maps
cites work: Symbolic dynamics for a Sierpinski curve Julia set
cites work: Q4264327
cites work: Q3530417
cites work: On the quasiconformal surgery of rational functions
cites work: On the dynamics of the McMullen family 𝑅(𝑧)=𝑧^{𝑚}+𝜆/𝑧^{ℓ}
DOI: 10.1007/S12044-010-0044-X
description: scientific article; zbMATH DE number 5826103