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On entire and meromorphic functions that share small functions with their derivatives. (English) Zbl 1021.30030
It is proved that if $$f$$ is a nonconstant entire function, $$f$$ and $$f^{(k)}$$ share the small function $$a(\not\equiv 0,\infty)$$ CM and $$\delta(0,f)> \frac 34$$, then $$f\equiv f^{(k)}$$. Furthermore, there is a similar conclusion for some meromorphic functions. Finally, several questions are posed.

##### MSC:
 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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