Uniqueness of Holomorphic Abel Functions at a Complex Fixed Point Pair
arXiv:1006.3981 · doi:10.1007/s00010-010-0021-6
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.
12 pages, 4 figures