涉及无零点的亚纯函数的正规定则
Normality criteria of zero-free meromorphic functions
陈鹏斌 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 830017
- 折叠
摘要
设(F)为区域(D)内一族非零亚纯函数且所有的极点是二重,k是正整数.h(z)((≠)0,∞)是区域(D)⊂(C)内亚纯函数且所有极点是简单极点.若对于(∨)f∈F,L(f)-h(z)至多有k个不同零点(不计重数),则(F)在区域(D)上正规.
Abstract
Let(F)be a family of non-zero meromorphic functions in region(D),and all polesk are heavy poles,k is a positive integer.h(z)((≠)0,∞)is a homomorphic function in region(D),and all poles are simple poles.If for(V)f ∈ F,(L(f))-h(z),has at most k different zeros(regardless of multiplicity),then(F)is normal in region(D).
关键词
亚纯函数/正规族/微分多项式Key words
Meromorphic function/Normality/Differential polynomial引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据