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On the recursive sequence \({x_{n + 1}} = \frac{{\alpha {x_{n - 1}}}}{{\beta {x_n} + {x_{n - 1}}}} + \frac{{{x_{n - 1}}}}{{{x_n}}}\) - MaRDI portal

On the recursive sequence \({x_{n + 1}} = \frac{{\alpha {x_{n - 1}}}}{{\beta {x_n} + {x_{n - 1}}}} + \frac{{{x_{n - 1}}}}{{{x_n}}}\) (Q1749643)

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scientific article; zbMATH DE number 6875171
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English
On the recursive sequence \({x_{n + 1}} = \frac{{\alpha {x_{n - 1}}}}{{\beta {x_n} + {x_{n - 1}}}} + \frac{{{x_{n - 1}}}}{{{x_n}}}\)
scientific article; zbMATH DE number 6875171

    Statements

    On the recursive sequence \({x_{n + 1}} = \frac{{\alpha {x_{n - 1}}}}{{\beta {x_n} + {x_{n - 1}}}} + \frac{{{x_{n - 1}}}}{{{x_n}}}\) (English)
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    25 May 2018
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    global stability
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    periodic solution
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