Complex analysis

Escaping set

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. (Wikipedia).

Escaping set
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Related pages

Fσ set | Julia set | Fixed point (mathematics) | Gδ set | Riemann sphere | Attractor | Entire function | Polynomial | Borel hierarchy | Wiman-Valiron theory | Transcendental function | Boundary (topology) | Mandelbrot set | Iterated function | Connected space | Closed set | Complex dynamics | Complex quadratic polynomial | Open set | Dispersion point