Immediate and Virtual Basins of Newton's Method for Entire Functions

Details Immediate and Virtual Basins of Newton's Method for Entire Functions Immediate and Virtual Basins of Newton's Method for Entire Functions

2004-03-21

arxiv.org/abs/math/0403336v1

Annales de l'institut Fourier, 56, 2 (2006), 325-336

Mathematics

Dynamical Systems

9 pages, 4 figures

Scientific paper

We investigate the well known Newton method to find roots of entire
holomorphic functions. Our main result is that the immediate basin of
attraction for every root is simply connected and unbounded. We also introduce
``virtual immediate basins'' in which the dynamics converges to infinity; we
prove that these are simply connected as well.

Affiliated with

Also associated with

No associations

Rating

Immediate and Virtual Basins of Newton's Method for Entire Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Immediate and Virtual Basins of Newton's Method for Entire Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Immediate and Virtual Basins of Newton's Method for Entire Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415442