求m阶递推数列通项公式的两种方法

Two Methods for General Term Formula of Recurrence Sequence with Order m

利用分析中的解析函数方法和代数中的矩阵方法,得到了m阶常系数齐次线性递推数列通项公式的解析表达式,是对已有结果的完善和推广.

This paper gives the general term formula of homogeneous linear recurrence sequence with constant coefficients and order m by two methods. One method is the series expansion of analytic function, the other is matrix of Jordan canonicalform. The result is an improvement and extension of existing results before.