Baker domains for Newton's method

DOI10.5802/aif.2277zbMath1122.30019arXivmath/0601496OpenAlexW1747111080MaRDI QIDQ2372815

James K. Langley, David Drasin, Walter Bergweiler

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601496

zbMATH Keywords

iterationNewton's methodJulia setFatou setasymptotic valueBaker domain

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Numerical computation of solutions to single equations (65H05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (6)

Absorbing sets and Baker domains for holomorphic maps ⋮ On the connectivity of the Julia sets of meromorphic functions ⋮ Newton's method and Baker domains ⋮ Escaping points in the boundaries of Baker domains ⋮ Simply connected Baker domains of some meromorphic functions ⋮ An entire function with no fixed points and no invariant Baker domains

Cites Work

• Iteration of meromorphic functions
• ON ENTIRE FUNCTIONS OF FINITE ORDER WITH ZEROS ON CURVES OF REGULAR ROTATION
• Virtual immediate basins of Newton maps and asymptotic values
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