Normal Families and Shared Functions

WANG Xue-qin, LEI Chun-lin

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

Chinese Quarterly Journal of Mathematics >

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

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

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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Abstract

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.

Key words： normal families; meromorphic functions; shared functions

Cite this article

WANG Xue-qin, LEI Chun-lin . Normal Families and Shared Functions[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(2) : 267 -273 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.02.014

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