p阶零级的亚纯函数的Borel例外值  

Borel Exceptional Values of Meromorphic Functions with Zero p-order of Growth

作　　者：蔡惠京 Cai Huijing(Zhongshan Open University,Zhongshan,Guangdong 528402,China)

机构地区：[1]中山开放大学,广东中山528402

出　　处：《数学理论与应用》2019年第1期1-21,共21页Mathematical Theory and Applications

摘　　要：本文考虑复平面上增长级为p阶零级的亚纯函数,引进增长型的概念,进而给出具有不同增长型的亚纯函数之间的比较.在此基础上,将熟知的Hadamard因子分解定理和Borel例外值定理推广到p阶零级的亚纯函数的情形.In this paper we discuss the meromorphic functions with zero p-order of growth.We firstly introduce a new concept“growth type”and then contrast the meromorphic functions with different growth types.Furthmore we generalize the well known Hadamard theorem and Borel theorem to the meromorphic functions with zero p-order of growth.

关 键 词：亚纯函数 增长级 增长型 BOREL例外值 

分 类 号：O17[理学—数学]