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

Shuang-Ting Lan; Zong-Xuan Chen
January 2014
Abstract & Applied Analysis;2014, p1
Academic Journal
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.


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