Baker domains for Newton's method
复变函数
2018-01-08 v1 动力系统
摘要
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.
引用
@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}
}
备注
8 pages