Fatou set - definition of Fatou set by The Free Dictionary
Julia set (redirected from Fatou set)
Also found in: Encyclopedia
Ju·li·a set (jo͞o′lē-ə)
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.