中山大学学报(自然科学版)2011,Vol.50Issue(4):17-22,6.
微分多项式分担集合的亚纯函数正规定则
Normality and Shared Sets Concerning Differential Polynomial
摘要
Abstract
Normality and shared sets concerning differential polynomial are studied. Let k ≥ 2 be a positive integer, and let F be a family of meromorphic functions defined in D, all of whose zeros have multiplicity at least k , and let a, b and c be complex numbers such that a≠d.c≠0. If for each pair of functions/, g ∈ F,f and g share c , L(f) and L(g) share the set S = {a,6} in D, then F is normal in D.关键词
正规族/亚纯函数/分担集合/微分多项式Key words
normal families/ meromorphic function/ shared sets/ differential polynomial分类
数理科学引用本文复制引用
曾翠萍,雷春林,李淑龙,杨德贵..微分多项式分担集合的亚纯函数正规定则[J].中山大学学报(自然科学版),2011,50(4):17-22,6.基金项目
国家自然科学基金资助项目(11071083) (11071083)
广东省科技计划资助项目(2008B080701005) (2008B080701005)