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Escaping set

In mathematics, and particularly complex dynamics, the escaping set of an entire function f {\displaystyle f} consists of all points that tend to infinity under the repeated application of f {\displaystyle f} . That is, a complex number z 0 ∈ C {\displaystyle z_{0}\in \mathbb {C} } belongs to the escaping set if and only if the sequence defined by z n +…

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Escaping set

Nodes30
Edges29
Triples28
Avg. degree1.93
Density0.066667
Components1

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Escaping set

Top relations

related to history · 11
Escaping set → Alexandre Eremenko, Eremenko's, He, In, Martí-Pete, Pierre Fatou, Rempe, The, This, Waterman, Wiman-Valiron
related to Properties · 6
Escaping set → Every, For, Here, In, Julia, The
related to Polynomials · 5
Escaping set → For, In, Julia, Riemann, The
related to Transcendental entire functions · 5
Escaping set → As, By, For, In, It
is a · 1
Escaping set → F σ δ set

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Important terminology

set escaping displaystyle entire connected infinity transcendental functions function complex conjecture point belongs sequence rempe polynomial examples eremenko every component

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Escaping setis aF σ δ set0.90text
Escaping setrelated to historyThe0.60section
Escaping setrelated to historyPierre Fatou0.60section
Escaping setrelated to historyAlexandre Eremenko0.60section
Escaping setrelated to historyWiman-Valiron0.60section
Escaping setrelated to historyHe0.60section
Escaping setrelated to historyThis0.60section
Escaping setrelated to historyEremenko's0.60section
Escaping setrelated to historyIn0.60section
Escaping setrelated to historyMartí-Pete0.60section
Escaping setrelated to historyRempe0.60section
Escaping setrelated to historyWaterman0.60section

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    Min side: 3
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