E-值亚纯函数的亏量和拟亏量  

Deficiency and pesu-deficiency of E-valued meromorphic functions

作　　者：吴佳[1] 王艳红[2] 陈裕先[3] 

机构地区：[1]咸宁职业技术学院,湖北咸宁437100 [2]华中师范大学数学与统计学院,湖北武汉430079 [3]新余学院数学与计算机科学学院,江西新余338000

出　　处：《南昌大学学报（理科版）》2013年第5期438-441,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11201395);江西省自然科学基金资助项目(20122BAB201006)

摘　　要：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.

关 键 词：E-值亚纯函数 拟亏量 ρ(r)-拟亏量 BANACH空间 

分 类 号：O174.52[理学—数学]