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A uniqueness theorem for meromorphic functions whose $$N$$-th derivatives share the same 1-points. (English) Zbl 0799.30019
The authors continue their work on uniqueness theorem arising from common point properties. Their main result here is the theorem: If $$f$$ and $$g$$ are two meromorphic functions with $$\theta(\infty,f)= \theta(\infty,g)= 1$$ and if $$f^{(n)}= 1$$ if and only if $$g^{(n)}= 1$$ and $$\delta(0,f)+ \delta(0,g)> 1$$, then either $$f\equiv q$$ or $$f^{(n)} g^{(n)}\equiv 1$$.

##### MSC:
 30D30 Meromorphic functions of one complex variable, general theory 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
##### Keywords:
value sharing; uniqueness Theorem
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##### References:
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