Some results on difference Painleve IV equations

In this paper, we investigate the family of difference Painleve IV equation (w(z + 1) + w(z))(w(z) + w(z - 1)) = R(z, w), where R(z, w), is rational in w and meromorphic in z. If equation assumes an admissible meromorphic solution of hyper-order rho 2(w) < 1, we give the coefficients relations of all the classification, which are known as the difference Painleve properties.