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设λ的二次三项式λ^2-αλ-b的两个零点为λ1=r,λ2=。对0〈r〈s,r〉〈0〈s-≠-r及r=s≠0这三种情形。M.Matkowski与Weinian Zhang在“Method of characteristics for functional equations in polynomial form”一文给出了迭代函数方程的通解,并证明了当r及display structure