Investigate the number of sharing values of a meromorphic function and its derivate in one angular domain instead of whole complex plane,and obtain the following results:Let f be a meromorphic function of lower order > 2 in the complex plane.Then there exists a direction H:arg z= θ0(0 ≤ θ0< 2π) such that for any positive number ε,f and f ' share at most one finite values without counting multiplicities in the angular region { z:| arg z-θ0| < ε}.
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