ON PROPERTIES OF FINITE-ORDER MEROMORPHIC SOLUTIONS OF A CERTAIN DIFFERENCE PAINLEVE I EQUATION

摘要

In this paper, we investigate properties of finite-order transcendental meromorphic solutions, rational solutions and polynomial solutions of the difference Painleve I equationf(z＋1)＋f(z)＋f(z－1)＝az＋b/f(z)＋c,where a, b and c are constants, |a|＋|b|≠0.