A note on entire functions that share two small functions
type: Item
instance of: scholarly article
title: A note on entire functions that share two small functions
zbMATH Open document ID: 1474.30212
DOI: 10.1155/2014/601507
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 7022696
Wikidata QID: Q59039840
author: Jun Fan Chen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/601507
OpenAlex ID: W2107935361
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description: scientific article; zbMATH DE number 7022696