Uniqueness of holomorphic Abel functions at a complex fixed point pair

2010/06/07 by Henryk Trappmann, Dmitrii Kouznetsov, Dimitrii Kouznetsov
Mathematics · #Functional Equations Stability Results #Mathematical functions and polynomials #Numerical methods for differential equations #math.CV #math.DS #msc:30D05

paper · pdf · doi:10.1007/s00010-010-0021-6

published as Aequationes Mathematicae, 2010 · 12 pages, 4 figures

openalex publication_date 2010/06/07 · arxiv created 2010/06/21 · arxiv updated 2010/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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