Uniqueness of Holomorphic Abel Functions at a Complex Fixed Point Pair

Mathematics – Complex Variables

Scientific paper

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12 pages, 4 figures

Scientific paper

10.1007/s00010-010-0021-6

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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