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二阶常系数线性齐次递推序列通解的证明及其应用
引用本文:王海青,罗静.二阶常系数线性齐次递推序列通解的证明及其应用[J].韶关学院学报,2010,31(9):10-12.
作者姓名:王海青  罗静
作者单位:[1]惠州学院数学系,广东惠州516007 [2]韶关学院数学与信息科学学院,广东韶关512005
摘    要:采用特征根法和常生成函数法给出了二阶常系数线性齐次递推序列通解的两种证明,并举例应用所给的两个定理解题.

关 键 词:线性齐次递推序列  通解  特征根  特征方程  生成函数

Second-order constant coefficient linear homogeneous recursive sequence proof of general solution and its application
WANG Hai-qing,LUO Jin.Second-order constant coefficient linear homogeneous recursive sequence proof of general solution and its application[J].Journal of Shaoguan University(Social Science Edition),2010,31(9):10-12.
Authors:WANG Hai-qing  LUO Jin
Institution:WANG Hai-qing,LUO Jin(1.Department of Mathematics,Huizhou University,Huizhou 516007,Guangdong,China;2.College of Mathematics and Information Sciences,Shaoguan University,Shaoguan 512005,Guangdong,China)
Abstract:Using eigenvalue and constant generating function,the article gives two proven methods of secondorder constant coefficient linear homogeneous recursive sequence’s general solution and solves some problems by two theories.
Keywords:linear homogeneous recursive sequence  general solution  eigenvalue  characteristic equation  generating function
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