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Uniqueness of Meromorphic Functions Concerning Sharing Two Small Functions with Their Derivatives
Ma Linke,Liu Dan,Fang Mingliang
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 $f\equiv f'$.