Holomorphic Motions and Normal Forms in Complex Analysis
Dynamical Systems
2020-06-02 v1 Complex Variables
Abstract
We give a brief review of holomorphic motions and its relation with quasiconformal mapping theory. Furthermore, we apply the holomorphic motions to give new proofs of famous Konig's Theorem and Bottcher's Theorem in classical complex analysis.
Cite
@article{arxiv.math/0508288,
title = {Holomorphic Motions and Normal Forms in Complex Analysis},
author = {Yunping Jiang},
journal= {arXiv preprint arXiv:math/0508288},
year = {2020}
}