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About: Escaping set     Goto   Sponge   NotDistinct   Permalink

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In mathematics, and particularly complex dynamics, the escaping set of an entire function ƒ consists of all points that tend to infinity under the repeated application of ƒ.That is, a complex number belongs to the escaping set if and only if the sequence defined by converges to infinity as gets large. The escaping set of is denoted by . For example, for , the origin belongs to the escaping set, since the sequence tends to infinity.