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On Properties of Meromorphic Solutions for Difference Painlevé Equations

Advances in difference equations(2015)

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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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