On Malmquist type theorem of systems of complex difference equations

摘要

The main purpose of this paper is to give the Malmquist type result of the meromorphic solutions of a system of complex difference equations of the following form: { ∑ λ 1 ∈ I 1 , μ 1 ∈ J 1 α λ 1 , μ 1 ( z ) ( ∏ ν = 1 n f ( z + c ν ) l λ 1 , ν ∏ ν = 1 n g ( z + c ν ) m