涉及零点和微分多项式的亚纯函数族的正规性
Normality of Meromorphic Function Families Involving Zeros and Differential Polynomials
纪欣雨 1杨祺1
作者信息
- 1. 新疆师范大学 数学科学学院,新疆 乌鲁木齐 830054
- 折叠
摘要
结合Hurwitz定理与Nevanlinna理论研究了与零点个数和微分多项式有关的亚纯函数族的正规性.通过反证法和分类讨论,在前人研究的基础上,推广了与零点个数有关的亚纯函数的正规定则,将其结论推广到一般的微分多项式形式,得到了一个新的结果.
Abstract
This paper combines Hurwitz's theorem and Nevanlinna's theory to study the regularity of meromorphic function families related to the number of zeros and differential polynomials.By using the method of contradiction and classification discussion and based on previous research,the normal rule for meromorphic functions related to the number of zeros has been extended,and its conclusion has been extended to the general form of differential polynomials,and thus a new result is obtained.
关键词
亚纯函数/微分多项式/零点个数/正规性Key words
meromorphic function/differential polynomial/zero numbers/normality引用本文复制引用
出版年
2024
NETL
NSTL
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