On the packing dimension of the Julia set and the escaping set of an entire function

Details On the packing dimension of the Julia set and the escaping set of an entire function On the packing dimension of the Julia set and the escaping set of an entire function

2011-01-18

arxiv.org/abs/1101.3479v1

Mathematics

Complex Variables

19 pages

Scientific paper

We show that for large classes of entire functions the Julia set and the
escaping set have packing dimension two. For example, this is the case for
entire functions which are bounded on a curve tending to infinity. More
generally, we show that the result holds under suitable growth conditions
involving the minimum and maximum modulus.

Affiliated with

Also associated with

No associations

Rating

On the packing dimension of the Julia set and the escaping set of an entire function 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 On the packing dimension of the Julia set and the escaping set of an entire function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the packing dimension of the Julia set and the escaping set of an entire function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287059