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Bulletin of the Korean Mathematical Society
Article . 2009 . Peer-reviewed
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zbMATH Open
Article . 2009
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TWO MEROMORPHIC FUNCTIONS SHARING SETS CONCERNING SMALL FUNCTIONS

Two meromorphic functions sharing sets concerning small functions
Authors: Cao, Ting-Bin;

TWO MEROMORPHIC FUNCTIONS SHARING SETS CONCERNING SMALL FUNCTIONS

Abstract

Nevanlinna's five values theorem was generalized to small functions by \textit{Y. Li} and \textit{J. Qiao} [Sci. China, Ser. A 43, No. 6, 581--590 (2000; Zbl 0970.30018)]. In this paper, the authors consider the uniqueness of meromorphic functions sharing sets concerning small functions. They obtaine some results with conditions of weighted sharing. The main tool for the proof is the second fundamental theorem for small functions due to \textit{K. Yamanoi} [Acta Math. 192, No. 2, 225--294 (2004; Zbl 1203.30035)].

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Keywords

Nevanlinna theory, small functions, meromorphic function, Meromorphic functions of one complex variable (general theory), uniqueness problem, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

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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
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