FINITE RANGE SET WITH TRUNCATED MULTIPLICITY FOR MEROMORPHIC FUNCTIONS ON SOME COMPLEX DISC  

复圆盘上亚纯函数的截断型有限象集

作　　者：WANG Yu-ting CAO Hong-zhe 王玉婷;曹红哲(南昌大学数学系,江西南昌330031)

机构地区：[1]Mathematics Department of Nanchang University,Nanchang 330031,China

出　　处：《数学杂志》2024年第5期383-396,共14页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(12061041);Jiangxi Provincial Natural Science Foundation(20232BAB201003).

摘　　要：In this paper,we consider the truncated multiplicity finite range set problem of meromorphic functions on some complex disc.By using the value distribution theory of meromorphic functions,we establish a second main theorem for meromorphic functions with finite growth index which share meromorphic functions(may not be small functions).As its application,we also extend the result of a finite range set with truncated multiplicity.本文研究了复圆盘上亚纯函数的截断型有限象集问题,利用亚纯函数值分布理论,建立了具有有限增长指标的亚纯函数分担亚纯函数(可能不是小函数)的第二基本定理;并应用此结果推广了亚纯函数的截断型有限象集结果.

关 键 词：meromorphic functions finite growth index complex disc finite range set trun-cated multiplicity 

分 类 号：O174.51[理学—数学] O174.56[理学—基础数学]