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Uniqueness of meromorphic functions that share one small function with their derivatives. (English) Zbl 1222.30020
Using standard arguments from Nevanlinna theory the author proves two uniqueness theorems on meromorphic functions such that $$f ^n$$ and $$(f^{(k)})^m$$ share a small function, where $$k,n \geq 1$$, $$m\geq 2$$. These are slight generalizations of known results. Sharpness is not discussed.
##### MSC:
 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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