On Siegel disks of a class of entire maps

@article{Zakeri2010OnSD,
title={On Siegel disks of a class of entire maps},
author={Saeed Zakeri},
journal={Duke Mathematical Journal},
year={2010},
volume={152},
pages={481-532}
}
• S. Zakeri
• Published 15 April 2010
• Mathematics
• Duke Mathematical Journal
Let f : C → C be an entire map of the form f(z) = P(z)exp(Q(z)), where P and Q are polynomials of arbitrary degrees (we allow the case Q = 0). Building upon a method pioneered by M. Shishikura, we show that if f has a Siegel disk of bounded type rotation number centered at the origin, then the boundary of this Siegel disk is a quasicircle containing at least one critical point of f. This unifies and generalizes several previously known results.
25 Citations

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