Article contents
Bounded-type Siegel disks of a one-dimensional family of entire functions
Published online by Cambridge University Press: 01 February 2009
Abstract
Let 0<θ<1 be an irrational number of bounded type. We prove that for any map in the family (e2πiθz+αz2)ez, α∈ℂ, the boundary of the Siegel disk, with fixed point at the origin, is a quasi-circle passing through one or both of the critical points.
- Type
- Research Article
- Information
- Copyright
- Copyright © 2008 Cambridge University Press
References
- 5
- Cited by