On rational recursive sequences (Q2367655)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rational recursive sequences |
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On rational recursive sequences (English)
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18 August 1993
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The present study is related to the global asymptotic behavior, the oscillatory character and the periodic nature of all solutions of the rational recursive sequences; \(x_{n+1}=[a+\sum^{k-1}_{i=0}b_ ix_{n-i}]/x_{n-k}\), and \(x_{n+1}=(a+bx_ n)/(A+x_{n-k})\), \(n=0,1,2,\dots\), which arises due to an open problem [problem \# 1343, Math., Mag. 63, No. 2, 125 (1990)].
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periodic solutions
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global asymptotic behavior
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oscillatory character
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rational recursive sequences
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