Dynamics of Structurally Finite Entire Functions with Two Singular Values

In this article, we treat structurally finite entire functions with two singular values. The dynamics are described in terms of the orbits of these singular values. Hyperbolic components as defined by Milnor in the parameter spaces are considered. In particular, functions of capture type are investi...

Full description

Saved in:
Bibliographic Details
Published in:Computational methods and function theory 2009-04, Vol.9 (1), p.185-198
Main Authors: Morosawa, Shunsuke, Taniguchi, Masahiko
Format: Article
Language:English
Subjects:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, we treat structurally finite entire functions with two singular values. The dynamics are described in terms of the orbits of these singular values. Hyperbolic components as defined by Milnor in the parameter spaces are considered. In particular, functions of capture type are investigated. We also give concrete examples of such functions.
ISSN:1617-9447
2195-3724
DOI:10.1007/BF03321721