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Abstract and Applied Analysis
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A Note on Entire Functions That Share Two Small Functions

A note on entire functions that share two small functions
Authors: Jun-Fan Chen;

A Note on Entire Functions That Share Two Small Functions

Abstract

This note is to show that iffis a nonconstant entire function that shares two pairs of small functions ignoring multiplicities with its first derivativef', then there exists a close linear relationship betweenfandf'. This result is a generalization of some results obtained by Rubel and Yang, Mues and Steinmetz, Zheng and Wang, and Qiu. Moreover, examples are provided to show that the conditions in the result are sharp.

Related Organizations
Keywords

QA1-939, Mathematics, 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!
2
Average
Average
Average
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