Julia set

(redirected from Fatou set)
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Related to Fatou set: Julia Sets

Ju·li·a set

 (jo͞o′lē-ə)
n.
For any holomorphic function on a complex plane, the boundary of the set of points whose result diverges when the function is iteratively evaluated at each point.

[After Gaston Julia (1893-1978), French mathematician.]
References in periodicals archive ?
K], the Fatou set is defined as the largest open set of [P.
a) The Julia set of f has an empty interior if the Fatou set is non-empty.
The Fatou set F(f) of transcendental meromorphic function f is the subset of the plane C where the iterates [f.