【摘要】 研究非常数亚纯函数及其导函数在角域内的满足分担值条件的唯一性问题,证明了复平面上一类亚纯函数至少存在一条从原点出发的射线Δ(θ)={argz=θ},0≤θ<2π,使得对于任意的正数ε(<π2),f(z)和f′(z)在角域{z:|argz-θ|<ε}内至多IM分担一个有限非零值。将林伟川和S.Mori等关于整函数的相关结果推广到亚纯函数。更多还原

【Abstract】 The uniqueness of meromorphic functions and their derivatives in angular domain was studed.It provd that there was an direction Δ(θ)={argz=θ},for 0≤θ<2π such that for any positive ε(<π2),a meromorphic function and its finite-order derivative shared at most two IM values in {z:|argz-θ|<ε}.Results were obtained which improved the results on entire function of Lin Weichuan and S.Mori.更多还原