Uniqueness for meromorphic solutions of Schwarzian differential equation

Abstract

$ \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.

Keywords

• differential equation
• meromorphic function
• sharing value
• uniqueness