Uniqueness of Holomorphic Abel Functions at a Complex Fixed Point Pair
Complex Variables
2010-06-22 v1 Dynamical Systems
Abstract
We give a simple uniqueness criterion (and some derived criteria) for holomorphic Abel functions and show that Kneser's real analytic Abel function of the exponential is subject to this criterion.
Keywords
Cite
@article{arxiv.1006.3981,
title = {Uniqueness of Holomorphic Abel Functions at a Complex Fixed Point Pair},
author = {Henryk Trappmann and Dmitrii Kouznetsov},
journal= {arXiv preprint arXiv:1006.3981},
year = {2010}
}
Comments
12 pages, 4 figures