THE FIXED POINT OF MEROMORPHIC SOLUTIONS FOR DIFFERENCE RICCATI EQUATION

Abstract

In this paper, we mainly investigate some properties of the transcendental meromorphic solution f (z) for the difference Riccati equation

       \(f(z + 1) = \frac{P_{1}(z)f(z) + P_{2}(z)}{f(z) +P_{3}(z)}\),

where P_i(z)(i = 1, 2, 3) are polynomials.  And we obtain some estimates of exponents of convergence of fixed points and c−points of f(z) and its shift f(z + n).