| 求m阶递推数列通项公式的两种方法 |
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| 引用本文： | 卢国祥.求m阶递推数列通项公式的两种方法[J].数学理论与应用,2011(4):109-115. |
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| 作者姓名： | 卢国祥 |
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| 作者单位： | 中南财经政法大学统计与数学学院; |
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| 摘 要： | 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.
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| 关 键 词： | m阶递推数列 通项公式 解析函数 级数展开 若尔当矩阵 |
Two Methods for General Term Formula of Recurrence Sequence with Order m |
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| Lu Guoxiang.Two Methods for General Term Formula of Recurrence Sequence with Order m[J].Mathematical Theory and Applications,2011(4):109-115. |
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| Authors: | Lu Guoxiang |
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| Institution: | Lu Guoxiang(School of Statistics and Mathematics,Zhongnan University of Economics and Law,Wuhan 430073,China) |
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| Abstract: | 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. |
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| Keywords: | Recurrence sequence with order m General term formula Analytic function Series expansion Jordan matrix |
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