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2014 A Note on Entire Functions That Share Two Small Functions
Jun-Fan Chen
Abstr. Appl. Anal. 2014(SI07): 1-9 (2014). DOI: 10.1155/2014/601507


This note is to show that if f is a nonconstant entire function that shares two pairs of small functions ignoring multiplicities with its first derivative f ' , then there exists a close linear relationship between f and f ' . 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.


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Jun-Fan Chen. "A Note on Entire Functions That Share Two Small Functions." Abstr. Appl. Anal. 2014 (SI07) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022696
MathSciNet: MR3273910
Digital Object Identifier: 10.1155/2014/601507

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI07 • 2014
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