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On critical points of proper holomorphic maps on the unit disk

Saeed Zakeri
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Abstract

We prove that a proper holomorphic map on the unit disk in the complex plane is uniquely determined up to post-composition with a Moebius transformation by its critical points.

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Saeed Zakeri. 1996-06-15. On critical points of proper holomorphic maps on the unit disk. https://arxiv.org/abs/math/9606221

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