Aequationes mathematicae

, Volume 81, Issue 1–2, pp 65–76 | Cite as

Uniqueness of holomorphic Abel functions at a complex fixed point pair

  • Henryk TrappmannEmail author
  • Dimitrii Kouznetsov


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.

Mathematics Subject Classification (2000)

Primary 30D05 


Abel function Abel equation exponential function fractional iterates holomorphic solution real analytic 


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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.BerlinGermany
  2. 2.Institute for Laser ScienceUniversity of Electro-CommunicationsChofushi, TokyoJapan

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