Mathematics – Complex Variables
Scientific paper
2010-12-06
Mathematics
Complex Variables
Scientific paper
We construct several new classes of transcendental entire functions, f, such that both the escaping set, I(f), and the fast escaping set, A(f), have a structure known as a spider's web. We show that some of these classes have a degree of stability under changes in the function. We show that new examples of functions for which I(f) and A(f) are spiders' webs can be constructed by composition, by differentiation, and by integration of existing examples. We use a property of spiders' webs to give new results concerning functions with no unbounded Fatou components.
No associations
LandOfFree
Entire functions for which the escaping set is a spider's web 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 Entire functions for which the escaping set is a spider's web, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entire functions for which the escaping set is a spider's web will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-479117