Uniqueness for meromorphic solutions of Schwarzian differential equation

Autor: Dan-Gui Yao, Zhi-Bo Huang, Ran-Ran Zhang
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 11, Pp 12619-12631 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021727?viewType=HTML
Popis: $ \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.
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