Baker domains for Newton's method
Complex Variables
2018-01-08 v1 Dynamical Systems
Abstract
We show that there exists an entire function without finite asymptotic values for which the associated Newton function tends to infinity in some invariant domain. The question whether such a function exists had been raised by Douady.
Keywords
Cite
@article{arxiv.math/0601496,
title = {Baker domains for Newton's method},
author = {Walter Bergweiler and D. Drasin and J. K. Langley},
journal= {arXiv preprint arXiv:math/0601496},
year = {2018}
}
Comments
8 pages