正规族与分担函数

王雪琴 , 雷春林

doi:10.13371/j.cnki.chin.q.j.m.2015.02.014

数学季刊 >

2015 , Vol. 30 >Issue 2: 267 - 273

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.02.014

正规族与分担函数

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Department of Applied Mathematics, South China Agricultural University

WANG Xue-qin(1979-), female, native of Jiujiang, Jiangxi, a lecturer of South China Agricultural University, M.S.D., engages in complex analysis.

收稿日期: 2013-08-06

网络出版日期: 2020-11-23

基金资助

Supported by the National Natural Science Foundation of China(11371149,11301076,11201219)；

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Normal Families and Shared Functions

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Department of Applied Mathematics, South China Agricultural University

WANG Xue-qin(1979-), female, native of Jiujiang, Jiangxi, a lecturer of South China Agricultural University, M.S.D., engages in complex analysis.

Received date: 2013-08-06

Online published: 2020-11-23

Supported by

Supported by the National Natural Science Foundation of China(11371149,11301076,11201219)；

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摘要

Let k be a positive integer,let h be a holomorphic function in a domain D,h \neq 0and let F be a family of nonvanishing meromorphic functions in D.If each pair of functions f and q in F,f^（k）and g^（k）share h in D,then F is normal in D.

关键词： normal families; meromorphic functions; shared functions

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王雪琴 , 雷春林 . 正规族与分担函数[J]. 数学季刊, 2015 , 30(2) : 267 -273 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.014

Abstract

Key words： normal families; meromorphic functions; shared functions

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