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Conformal Geometry and Dynamics

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Nonlinear automorphisms of plane domains

Author: Timo Erkama
Journal: Conform. Geom. Dyn. 3 (1999), 151-157
MSC (1991): Primary 30D05; Secondary 58F23
Published electronically: November 30, 1999
MathSciNet review: 1725479
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Abstract: We prove that the number of holomorphic nonlinear polynomials mapping a plane domain one-to-one onto itself is at most countable.

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Additional Information

Timo Erkama
Affiliation: University of Joensuu, SF-80101 Joensuu, Finland

Received by editor(s): June 23, 1999
Received by editor(s) in revised form: September 24, 1999
Published electronically: November 30, 1999
Article copyright: © Copyright 1999 American Mathematical Society