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Systems of linear difference equations and expansions in series of exponential functions

Systems of linear difference equations and expansions in series of exponential functions

Introduction.The principal purpose of the first part of this paper is to prove ( §1.9) that the system (1.1) of linear non-homogeneous generalized difference equations has solutions gk(x), k = l,2, ■ • • ,n, which are integral functions provided that the independent terms <pr(x) are themselves integral functions and …