关于亏量为1的亚纯函数

On Meromorphic Functions of Defect 1

亏量问题一直是亚纯函数值分布理论的一个重要课题，亏量的大小影响着亚纯函数的性态。本文在亏量为１的条件下，在一类涉及慢增长函数的基础上研究亚纯函数的特性，得出亏量一定。

The study of defect is an important problem in the theory of meromorphic functions and their value distribution. Defect has an important influence upon the characteristrc of meromorphic function. In the paper, on the basis of solwly increasing functions the charcterstic of meromorphic function is argued. The result is: if two meromorphic functions have a share function and a constant defective value, they have a rather unusual relation each other.