Uniqueness for meromorphic solutions of Schwarzian differential equation

AIMS Mathematics

卷:6

Zhi-Bo Huang¹  Dan-Gui Yao¹  Ran-Ran Zhang² 

[1] 1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China;

[2] 2. Department of Mathematics, Guangdong University of Education, Guangzhou, 510303, China;

关键词: differential equation;    meromorphic function;    sharing value;    uniqueness;   

DOI  :  10.3934/math.2021727

来源: DOAJ

【 摘 要 】

$ \begin{align*} \left[\frac{f'''}{f'}-\frac{3}{2}\left(\frac{f''}{f'}\right)^{2}\right]^{k} = R(z). \end{align*} $We investigate the uniqueness of meromorphic solutions of the above Schwarzian differential equation if the meromorphic solution $ f $ shares three values with any other meromorphic function.

【 授权许可】

Unknown