Meromorphic Solutions of Some Complex Difference Equations

The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a collection of all subsets of [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are distinct, nonzero complex numbers, [inline-graphic not available: see fulltext] is a transcendental meromorphic function, [inline-graphic not available: see fulltext]'s are small functions relative to [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] is a rational function in [inline-graphic not available: see fulltext] with coefficients which are small functions relative to [inline-graphic not available: see fulltext].