On Existence of Solutions of Difference Riccati Equation

Consider the difference Riccati equation xxxx, where A , B , C , D are meromorphic functions, we give its solution family with one-parameter H( f( z )) = {f_0( z ),f( z ) = ( f_1( z ) - f_0( z ))( f_2( z ) - f_0( z ))/Q( z )( f_2( z ) - f_1( z )) + ( f_2( z ) - f_0( z )) + f_0( z )} , where Q ( z ) is any constant in C or any periodic meromorphic function with period 1, and f 0 ( z ), f 1 ( z ), f 2 ( z ) are its three distinct meromorphic solutions.