On Properties of Meromorphic Solutions for Difference Painlevé Equations
Advances in difference equations(2015)
Abstract
In this paper, we mainly investigate properties of finite order transcendental meromorphic solutions of difference Painlevé equations. If f is a finite order transcendental meromorphic solution of difference Painlevé equations, then we get some estimates of the order and the exponent of convergence of poles of \(\Delta f(z)\), where \(\Delta f(z)=f(z+1)-f(z)\).
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Key words
30D35,39B12,difference Painlevé equation,transcendental meromorphic solution,fixed points
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