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

Shuang-Ting Lan and Zong-Xuan Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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), and of fixed points of f(z + c) for any c ∈ ℂ.

Date: 2014
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https://doi.org/10.1155/2014/782024

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:782024

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