On sharing values of meromorphic functions and their differences
type: Item
instance of: scholarly article
title: On sharing values of meromorphic functions and their differences
zbMATH Open document ID: 1267.30077
author: Hongxun Yi
author: Zongxuan Chen
published in: Results in Mathematics
publication date: 2013-02-08T00:00:00Z
review text: The authors obtain a difference analogue of the Brück conjecture and some results on uniqueness. They prove that \(a=0\) and \[ \frac{f(z+\eta)-f(z)}{f(z)}=A, \] where \(A\) is a nonzero constant, if \(f(z)\) is a finite order transcendental entire function which has a finite Borel exceptional value \(a\) and \(\Delta f(z)=f(z+\eta)-f(z)\not\equiv 0\), and if \(\Delta f\) and \(f\) share the value \(a\) CM. Some other results are also obtained. These contributions are interesting and new, and make the Brück conjecture more popular.
reviewed by: Zhibo Huang
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 6135266
zbMATH Keywords: complex difference
zbMATH Keywords: meromorphic function
zbMATH Keywords: Borel exceptional value
zbMATH Keywords: sharing value
MaRDI profile type: Publication
full work available at URL: s00025-011-0217-7
OpenAlex ID: W2049815653
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DOI: 10.1007/S00025-011-0217-7
description: scientific article; zbMATH DE number 6135266