The periodicity of differential-difference polynomials of entire functions
type: Item
instance of: scholarly article
title: The periodicity of differential-difference polynomials of entire functions
zbMATH Open document ID: 1499.30279
author: Yanyan Li
published in: Analysis Mathematica
publication date: 2022-03-16T00:00:00Z
review text: Like many other papers the motivation of the paper is the following Yang's conjecture: Let \(f\) be a transcendental entire function and \(k\) be a positive integer. If \(ff^{(k)}\) is a periodic function, then \(f\) is also a periodic function. \par The authors study Yang's conjecture for the case of certain differential-difference polynomials of entire functions having hyper-order less than \(1\). A number of examples are provided to substantiate necessity of the hypotheses of the theorems proved in the paper.
reviewed by: Indrajit Lahiri
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 39A05
zbMATH DE Number: 7491542
zbMATH Keywords: periodicity
zbMATH Keywords: entire function
zbMATH Keywords: differential-difference polynomial
zbMATH Keywords: hyperorder
MaRDI profile type: Publication
full work available at URL: s10476-022-0119-9
OpenAlex ID: W4214902315
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DOI: 10.1007/S10476-022-0119-9
description: scientific article; zbMATH DE number 7491542