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arXiv · 1205.5971

Escaping Set of e^z-1

Dinesh Kumar·Sanjay Kumar·A. P. Singh
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Abstract

We investigate the set I(f) of points that converge to infinity under iteration of the map f(z) = e^z-1 and show that it is the disjoint union of countably many rays and uncountable union of infinite sets whose points escape to infinity through the sets.

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Dinesh Kumar, Sanjay Kumar, A. P. Singh. 2012-06-12. Escaping Set of e^z-1. https://arxiv.org/abs/1205.5971

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