Rippon, P.J. and Stallard, G.M.
On questions of Fatou and Eremenko.
Proceedings of the American Mathematical Society, 133(4) pp. 1119–1126.
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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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