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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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