|
|||||
|
|
On the growth of meromorphic solutions of the Schwarzian differential equations |
|
| Authors: | Liangwen Liao |
| Institution: | a Department of Mathematics and Institute of Mathematical Science, Nanjing University, Nanjing 210093, China b Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USA |
| Abstract: | We study the properties of meromorphic solutions of the Schwarzian differential equations in the complex plane by using some techniques from the study of the class Wp. We find some upper bounds of the order of meromorphic solutions for some types of the Schwarzian differential equations. We also show that there are no wandering domains nor Baker domains for meromorphic solutions of certain Schwarzian differential equations. |
| Keywords: | Schwarzian differential equation Schwarzian derivative Meromorphic function Order Complex dynamics |
| 本文献已被 ScienceDirect 等数据库收录！ | |