On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations
type: Item
instance of: scholarly article
title: On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations
zbMATH Open document ID: 1238.30019
published in: Science China. Mathematics
publication date: 2012-01-24T00:00:00Z
review text: The author studies the order of growth, zeros and poles of finite order meromorphic solutions of nonlinear difference equations \[ P(z) y(z+1)y(z)+Q(z)y(z)y(z-1)=H(z)\eqno{(1.1)} \] and \[ y(z+1)=\frac{R(z)y(z)}{Q(z)+P(z)y(z)},\eqno{(1.2)} \] where \(P(z), Q(z), H(z)\) and \(R(z)\) are polynomials such that \(P(z) Q(z) H(z) R(z)\not\equiv 0\). Similar results for linear difference equations related to (1.1) and (1.2) are also obtained.
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 6000062
zbMATH Keywords: nonlinear difference equation
zbMATH Keywords: linear difference equation
zbMATH Keywords: order of growth
zbMATH Keywords: zero
zbMATH Keywords: pole
author: Zongxuan Chen
reviewed by: Zhibo Huang
MaRDI profile type: Publication
full work available at URL: s11425-011-4265-y
OpenAlex ID: W1970563380
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DOI: 10.1007/S11425-011-4265-Y
description: scientific article; zbMATH DE number 6000062