E-值亚纯函数的亏量和拟亏量

Deficiency and pesu-deficiency of E-valued meromorphic functions

介绍从复平面C到无限维Banach空间E的E-值亚纯函数的Nevanlinna基本理论,研究E-值亚纯函数的亏量。定义了E-值亚纯函数的拟亏量和ρ(r)-拟亏量,建立了E-值亚纯函数的拟亏量和ρ(r)-拟亏量关系定理,推广了亚纯函数的相关结果。

he Nevanlinna theory of E-valued meromorphic function was introduced,which covered from the complex plane C to infinite dimensional Banach space.We also studied the deficiency of E-valued meromorphic functions.The pesu-deficiency and pesu-deficiency were defined to establish their relations.The results obtained in this paper developed the existing results of meromorphic function.