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The value distribution of meromorphic solutions of some second nonlinear difference equation
Keywords:Difference equation; Meromorphic solution; Growth; Rational solutions
Abstract:
      In this paper, we investigate some properties of solutions for some nonlin- ear difference equation, and obtain some estimates of the exponent of conver- gence poles and growth of its transcendental meromorphic solutions f(z) and its difference f(z). Moreover, we study the existence and forms of rational solutions. We also give some examples to support our theoretical discussion.