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分式线性递归关系的研究
引用本文:姬小龙.分式线性递归关系的研究[J].济源职业技术学院学报,2021,20(1):51-53.
作者姓名:姬小龙
作者单位:济源职业技术学院成教中心,河南济源459000
摘    要:用递归关系的不动点变换研究了分式线性递归数列与等差数列、等比数列的关系,并讨论了分式线性递归数列的收敛性。最后,给出了一种求分式线性递归数列通项的简易方法。

关 键 词:分式线性递归数列  收敛性  通项

Research on Fractional Linear Recursive Relations
JI Xiaolong.Research on Fractional Linear Recursive Relations[J].JOurnal of Jiyuan Vocational and Technical College,2021,20(1):51-53.
Authors:JI Xiaolong
Institution:(Adult Education Centre,Jiyuan Vocational and Technical College,Jiyuan 459000,Henan)
Abstract:The fixed point transformation of recursive relation is used to study the relations among fractional linear recursive sequence,arithmetic sequence and proportional sequence.The convergence of fractional linear recursive sequence is discussed.Finally,a simple method to find the general term of fractional linear recursive sequence is given.
Keywords:fractional linear recursive sequence  convergence  general term
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