Zeros, Poles, and Fixed Points of Meromorphic Solutions of Difference Painlevé Equations

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)=η(z)w2(z)-λ(z)w(z) and w(z+1)w(z-1)(w(z)-1)=η(z)w(z) and obtain precise estimations of the exponents of convergence of zeros, poles of Δf(z) and Δf(z)/f(z)...

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Bibliographic Details
Main Authors: Shuang-Ting Lan, Zong-Xuan Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/782024
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