角域内亚纯函数及其导数的分担值  

Sharing value of meromorphic function and its derivative in angular domain

作　　者：吴佳[1] 陈裕先[2] 廖秋根[2] 

机构地区：[1]咸宁职业技术学院机电系,湖北咸宁437100 [2]新余学院数学与计算机学院,江西新余338031

出　　处：《南昌大学学报（理科版）》2011年第4期339-342,共4页Journal of Nanchang University(Natural Science)

基　　金：江西省自然科学基金资助项目(2010GZC0187);江西省教育厅科技计划资助项目(GJJ11640;GJJ10649)

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。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≤θ2π 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.

关 键 词：分担值 SV方向 BOREL方向 唯一性 

分 类 号：O174.5[理学—数学]