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On questions of Fatou and Eremenko
Author(s):
P.
J.
Rippon;
G.
M.
Stallard
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1119-1126.
MSC (2000):
Primary 37F10;
Secondary 37F45
Posted:
October 18, 2004
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Abstract |
References |
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Additional information
Abstract:
Let  be a transcendental entire function and let  be the set of points whose iterates under  tend to infinity. We show that  has at least one unbounded component. In the case that  has a Baker wandering domain, we show that  is a connected unbounded set.
References:
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- 8.
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- 13.
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Additional Information:
P.
J.
Rippon
Affiliation:
Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom
Email:
p.j.rippon@open.ac.uk
G.
M.
Stallard
Affiliation:
Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom
Email:
g.m.stallard@open.ac.uk
DOI:
10.1090/S0002-9939-04-07805-0
PII:
S 0002-9939(04)07805-0
Received by editor(s):
April 4, 2003
Received by editor(s) in revised form:
November 28, 2003
Posted:
October 18, 2004
Dedicated:
This paper is dedicated to the memory of Professor Noel Baker
Communicated by:
Michael Handel
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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