On properties of meromorphic solutions for difference Painlevé equations

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 f (z), where f (z) = f (z + 1) -f (z). MSC: 30D35; 39B12