中心阶乘数反演关系的证明

摘要

We present a method for computing the generators of the product of two infinite trian-gular matrices defined by recursive relations of the type F(n,k) = an-c,kF(n - c ,k ) + bn-c,k-cF(n-c,k - c). As immediate consequence of our results we give a new proof of the inverse relations of cen-tral factorial numbers.%给出由递归关系F(n,k)=an-c,kF(n-c,k)+bn-c,k-cF(n-c,k-c)定义的两个无穷下三角矩阵的生成子的计算方法,作为直接推论给出了中心阶乘数反演关系的新证明.