Uniqueness for meromorphic solutions of Schwarzian differential equation
Keyword(s):
<abstract><p>Let $ f $ be a meromorphic function, $ R $ be a nonconstant rational function and $ k $ be a positive integer. In this paper, we consider the Schwarzian differential equation of the form</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{align*} \left[\frac{f'''}{f'}-\frac{3}{2}\left(\frac{f''}{f'}\right)^{2}\right]^{k} = R(z). \end{align*} $\end{document} </tex-math></disp-formula></p> <p>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.</p></abstract>
2014 ◽
Vol 97
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pp. 391-403
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2016 ◽
Vol 39
(8)
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pp. 2083-2092
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1914 ◽
Vol 33
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pp. 107-117
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2000 ◽
Vol 20
(3)
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pp. 895-910
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