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Bulletin of the Korean Mathematical Society
Article . 2012 . Peer-reviewed
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zbMATH Open
Article . 2012
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NORMAL FAMILIES AND SHARED HOLOMORPHIC FUNCTIONS

Normal families and shared holomorphic functions
Authors: Lu, Feng;

NORMAL FAMILIES AND SHARED HOLOMORPHIC FUNCTIONS

Abstract

Summary: In this paper, we study the problem of normal families and deduce some results, which improve and generalize several related theorems obtained by \textit{X. Pang} [Analysis, München 22, No. 2, 175--182 (2002; Zbl 1030.30030)], \textit{M. Fang} and \textit{Y. Xu} [Isr. J. Math. 129, 125--141 (2002; Zbl 1007.30025)] and \textit{F. Lü} et al. [Ann. Pol. Math. 95, No. 1, 67--75 (2009; Zbl 1170.30014)]. Mean-while, some examples are given to show the sharpness of our results.

Keywords

linear differential polynomial, Nevanlinna theory, Cauchy theorem, holomorphic function, Normal functions of one complex variable, normal families, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, normal family

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold