Zeros, poles, and fixed points of meromorphic solutions of difference Painlevé equations
type: Item
instance of: scholarly article
title: Zeros, poles, and fixed points of meromorphic solutions of difference Painlevé equations
zbMATH Open document ID: 1474.39012
DOI: 10.1155/2014/782024
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In this paper, we mainly study the properties of transcendental meromorphic solutions \(f(z)\) of difference Painlevé equations \(w(z + 1) w(z - 1)(w(z) - 1) = \eta(z) w^2(z) - \lambda(z) w(z)\) and \(w(z + 1) w(z - 1)(w(z) -\)\(1) = \eta(z) w(z)\) and obtain precise estimations of the exponents of convergence of zeros, poles of \(\Delta f(z)\) and \(\Delta f(z) / f(z)\), and of fixed points of \(f(z + c)\) for any \(c \in \mathbb C\).
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 7023057
Wikidata QID: Q59041412
author: Shuang Ting Lan
author: Zongxuan Chen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/782024
OpenAlex ID: W2053075992
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description: scientific article; zbMATH DE number 7023057