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On questions of Fatou and Eremenko |
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| Authors: | P. J. Rippon G. M. Stallard |
| Affiliation: | Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom ; Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom |
| 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. |
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