| Volume 10, Number 2, 2020, Pages 713-728 DOI：10.11948/20190115 |
| Uniqueness of meromorphic functions concerning sharing two small functions with their derivatives |
| Linke Ma,Dan Liu,Mingliang Fang |
| Keywords:Meromorphic functions, shared small functions, derivatives. |
| Abstract: |
| In this paper, we study the uniqueness of meromorphic functions that share two small functions with their derivatives. We prove the following result: Let $f$ be a nonconstant meromorphic function such that $\mathop {\overline{\lim}}\limits_{r\to\infty} \frac{\bar{N}(r,f)}{T(r,f)}<\frac{3}{128}$, and let $a$, $b$ be two distinct small functions of $f$ with $a\not\equiv\infty$ and $b\not\equiv\infty$. If $f$ and $f""$ share $a$ and $b$ IM, then $f\equiv f""$. |
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