单位圆内代数体函数的强Borel点  

On Maximality Borel Point of Algebroidal Function in Unit Disk

作　　者：张进 

机构地区：[1]德宏师范高等专科学校数学系,云南芒市678400

出　　处：《西南师范大学学报（自然科学版）》2017年第6期19-23,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：云南省教育厅科研基金项目(2015Y581)

摘　　要：讨论了单位圆内代数体函数在某条件下的强Borel点存在问题,通过建立代数体函数在角域取值的密指量与其对应的型函数的关系,得到了单位圆内代数体函数在此条件下必存在强Borel点,且其强Borel点必是其Borel点.The problem has been discussed about existence of maximality Borel points of algebroidal function with certain condition in unit disk,and about the gained algebroidal function with this condition in unit disk which must posses maximality Borel points,and derived maximality Borel point which must be it＇s Borel point,by founding relationship between the counting function of values in angular domain and form function of algebroidal function.

关 键 词：代数体函数 单位圆 强Borel点 型函数 

分 类 号：O174.52[理学—数学]