Baker domains for Newton's method

Details Baker domains for Newton's method Baker domains for Newton's method

2006-01-20

arxiv.org/abs/math/0601496v1

Ann. Inst. Fourier 57 (2007), 803-814.

Mathematics

Complex Variables

8 pages

Scientific paper

We show that there exists an entire function without finite asymptotic values
for which the associated Newton function tends to infinity in some invariant
domain. The question whether such a function exists had been raised by Douady.

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