Julia sets of permutable Holomorphic maps |
| |
| Authors: | SINGH Anand P WANG Yuefei |
| |
| Affiliation: | 1. Department of Mathematics, University of Jammu, Jammu-180006, India
2. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing 100080, China |
| |
| Abstract: | Let f and g be two permutable transcendental holomorphic maps in the plane. We shall discuss the dynamical properties of f, g and f o g and prove, among other things, that if either f has no wandering domains or f is of bounded type, then the Julia sets of f and f(g) coincide. Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
| |
| Keywords: | Julia set Fatou set permutable maps |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ |
|
