向量值亚纯函数修正的亏量和  

Post-correctiondeficiency Sums of Vector-valued Meromorphic Functions

作　　者：李琛 赵静 LI Chen;ZHAO Jing(School of Mathematics and Statistics Shangqiu Normal University,Shangqiu 476000,China)

机构地区：[1]商丘师范学院数学与统计学院,河南商丘476000

出　　处：《商丘职业技术学院学报》2021年第4期79-82,共4页JOURNAL OF SHANGQIU POLYTECHNIC

基　　金：2019年度国家自然科学基金“量子相干和多体纠缠之间关系的研究”(11947073);2020年度商丘师范学院博士基金项目“子空间多窗口弱Gabor标架理论的一些问题”(700189)。

摘　　要：Nevanlinna理论是复分析理论研究的重要工具,并对其他许多数学分支的交叉和融合产生了重要的影响.利用从复平面C到Banach空间向量值亚纯函数的Nevanlinna基本理论,结合Nevanlinna第一基本定理的推广形式对向量值亚纯函数的亏量进行了研究,得到了推广的亏量形式并给出相关定义,并在此基础上给出了向量值亚纯函数修正的亏量和的一个不等式结论和相关证明.Nevanlinna theory is an important tool for complex analysis theory,and also has a significant impact on the intersection and fusion of many other branches of mathematics.In this paper,we use Nevanlinna theory of vector valued meromorphic functions which covered from complex plane C to Banach space,combining with the generalization of Nevanlinna s first basic theorem to study the deficiency of vector valued meromorphic functions.The generalized form of deficiency is obtained and the related definitions are given.On this basis,an inequality conclusion and related proof of the modified deficiency sum of vector valued meromorphic functions are given.

关 键 词：NEVANLINNA理论 向量值亚纯函数 亏量 亏量和 

分 类 号：O174.52[理学—数学]