An entire function with no fixed points and no invariant Baker domains

DOI10.1090/S0002-9939-2014-12202-7zbMath1401.37053arXiv1210.5127MaRDI QIDQ5496243

Walter Bergweiler

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5127

zbMATH Keywords

Newton's methodhyperbolic metricdirect singularity

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (1)

Simply connected Baker domains of some meromorphic functions

Cites Work

• Unnamed Item
• Unnamed Item
• A new characterisation of the Eremenko-Lyubich class
• On the connectivity of the Julia sets of meromorphic functions
• Direct singularities and completely invariant domains of entire functions
• Complex dynamics
• On the singularities of the inverse to a meromorphic function of finite order
• Baker domains for Newton's method
• Newton's method and Baker domains
• The domains of normality of an entire function
• Iteration of meromorphic functions
• Virtual immediate basins of Newton maps and asymptotic values

This page was built for publication: An entire function with no fixed points and no invariant Baker domains