Families of Baker domains II
Authors:
P. J. Rippon and G. M. Stallard
Journal:
Conform. Geom. Dyn. 3 (1999), 67-78
MSC (1991):
Primary 30D05; Secondary 58F08
DOI:
https://doi.org/10.1090/S1088-4173-99-00045-4
Published electronically:
June 14, 1999
MathSciNet review:
1689255
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a transcendental meromorphic function and
be an invariant Baker domain of
. We use estimates for the hyperbolic metric to show that there is a relationship between the size of
and the proximity of
in
to the identity function, and illustrate this by discussing how the dynamics of transcendental entire functions of the following form vary with the parameter
:
where ,
and
.
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Additional Information
P. J. Rippon
Affiliation:
Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA England
Email:
p.j.rippon@open.ac.uk
G. M. Stallard
Affiliation:
Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA England
Email:
g.m.stallard@open.ac.uk
DOI:
https://doi.org/10.1090/S1088-4173-99-00045-4
Received by editor(s):
January 5, 1999
Received by editor(s) in revised form:
April 19, 1999
Published electronically:
June 14, 1999
Article copyright:
© Copyright 1999
American Mathematical Society