On Newton's method for entire functions
نویسندگان
چکیده
منابع مشابه
On Newton’s Method for Entire Functions
The Newton map Nf of an entire function f turns the roots of f into attracting fixed points. Let U be the immediate attracting basin for such a fixed point of Nf . We study the behavior of Nf in a component V of C \ U . If V can be surrounded by an invariant curve within U and satisfies the condition that for all z ∈ Ĉ, N f ({z}) ∩ V is a finite set, we show that V contains another immediate ba...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2007
ISSN: 0024-6107
DOI: 10.1112/jlms/jdm046