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Properties of meromorphic solutions of Painlevé III difference equations

Properties of meromorphic solutions of Painlevé III difference equations

In this paper, we investigate the properties of meromorphic solutions of Painlevé III difference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromorphic solution. MSC:30D35, 39A10.