Properties of meromorphic solutions of some certain difference equations

Abstract

This paper considers some properties of meromorphic solutions of the nonlinear difference equation
(f(z + 1) + f(z))(f(z) + f(z − 1)) = $\frac{P(z,f(z))}{Q(z,f(z))}$,
where P(z, f(z)) and Q(z, f(z)) are polynomials in f having rational coefficients and no common roots.