Meromorphic functions with linearly distributed values and Julia sets of rational functions

Details Meromorphic functions with linearly distributed values and Julia sets of rational functions Meromorphic functions with linearly distributed values and Julia sets of rational functions

2008-08-27

arxiv.org/abs/0808.3800v1

Proc. Amer. Math. Soc. 137 (2009), 2329-2333

Mathematics

Complex Variables

6 pages

Scientific paper

10.1090/S0002-9939-08-09788-8

If the preimage of a four-point set under a meromorphic function belongs to
the real line, then the image of the real line is contained in a circle in the
Riemann sphere. We include an application of this result to holomorphic
dynamics: if the Julia set of a rational function is contained in a smooth
curve then it is contained in a circle.

Affiliated with

Also associated with

No associations

Rating

Meromorphic functions with linearly distributed values and Julia sets of rational 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 Meromorphic functions with linearly distributed values and Julia sets of rational functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Meromorphic functions with linearly distributed values and Julia sets of rational functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-326730