摘要
构造了下级为0、级可以为任意取定的大于1的有理数、零点和极点位于正实轴上、只有一条Julia方向的亚纯函数.利用这个函数回答了亚纯函数的级的估计的一个问题.同时得到:若一个亚纯函数的零点和极点位于2条从原点出发的不同的射线上,那么该亚纯函数的级与下级之差不超过2.
A meromorphic function with zeros and poles line on a ray is given which has only one Julia direction.The function＇s order may be any rational number but its lower order is 0.This funcion is used to answer a question about the orders＇ upperbound estimation.On the other hand,the subtraction of the orders are found,and the lower orders of meromorphic functions with zeros line on one ray and with poles line on another ray will no more than two.
出处
《华南师范大学学报（自然科学版）》
CAS
北大核心
2010年第2期24-26,共3页
Journal of South China Normal University(Natural Science Edition)
关键词
亚纯函数
零点和极点
级与下级
JULIA方向
meromorphic function
zero and pole
order and lower order
Julia direction
