06-1   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Walter Bergweiler, David Drasin, James Langley:

Baker domains for Newton's method

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.

Electronic Print:Front for the Mathematics ArXiv

Mathematics Subject Classification (1991): 30D05, 37F10, 65H05

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

Mail an Jens Burmeister
[Thu Feb 19 18:56:37 2009]