关于Schottky定理与Hayman常数

ON SCHOTTKY THEOREM AND HAYMAN COSTANT

本文对于在单位圆盘中不取值0与1的正则函数,利用了这种函数的对数导数模的准确上界与及Hayman常数有关的上界,得到了这种函数模的显式上界与Hayman常数的关系及这种函数的正规级.

For the regular funcction in the unit disk D not taking value 0,1. the accurate upper bound for the modulus of logarithmic derivative of these functions is given. The relation is given for explicit bounds of the modulus and Hayman costant, and the normal order is also given for these functions.