Some examples of Baker domains

Details Some examples of Baker domains Some examples of Baker domains

2011-10-06

arxiv.org/abs/1110.1232v1

Nonlinearity 25 (2012), 1033-1044

Mathematics

Complex Variables

13 pages

Scientific paper

10.1088/0951-7715/25/4/1033

We construct entire functions with hyperbolic and simply parabolic Baker
domains on which the functions are not univalent. The Riemann maps from the
unit disk to these Baker domains extend continuously to certain arcs on the
unit circle. The results answer questions posed by Fagella and Henriksen, Baker
and Dominguez, and others.

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