亚纯函数的正规定理

亚纯函数的正规定理 ON NORMAL THEOREM OF MEROMORPHIC FUNCTIONS 孙道椿 Sun Daochun 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 亚纯函数族在区域Ｄ内正规的充分必要条件是任取ｚ０∈Ｄ及δ＞０，存在ε＞０，对任意及任意三个单连通闭区域Ａ，Ｂ，Ｃ，只要它们两两间的球距大于δ，则ｆ在｛｜ｚ－ｚ０｜＜ε｝内单纯覆盖Ａ，Ｂ，Ｃ的总次数小于２． in this paper,we apply the theorems on covering surfaces and prove several normal theorems for meromorphic function family. 正规族 覆盖曲面 单纯覆盖 normal family covering surface simplicial cover O174.52 国家自然科学基金,高等学校博士学科点基金 1995-01-01 2021-04-01 1