Title
Higher Order Elliptic Functions with Connected Julia Sets
Document Type
Article
Publication Date
5-2018
Department
Mathematics
Language
English
Publication Title
Topology Proceedings
Abstract
Connectivity properties of elliptic functions are completely understood for only four families of order two elliptic functions. In this paper, we find families of elliptic functions of arbitrarily high order on square and triangular lattices for which the Julia set is connected.
Recommended Citation
Clemons, Joshua J., and Lorelei Koss. "Higher Order Elliptic Functions with Connected Julia Sets." Topology Proceedings 53 (2019): 57-72. (Article published online May 7, 2018). http://topology.auburn.edu/tp/reprints/v53/tp53006p1.pdf
Comments
For more information on the published version, visit Topology Proceeding's Website.