| 递推数列的非线性表达式的构造 |
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| 引用本文： | 何天晓.递推数列的非线性表达式的构造[J].数学研究及应用,2015,35(5):473-483. |
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| 作者姓名： | 何天晓 |
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| 作者单位： | 伊利诺伊卫斯理大学数学系, 布鲁明顿， 伊利诺伊 61702-2900 |
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| 摘 要： | A type of nonlinear expressions of Lucas sequences are established inspired by Hsu A nonlinear expression for Fibonacci numbers and its consequences.J.Math.Res.Appl.,2012,32(6):654–658].Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2,i.e.,the Horadam sequences,we may transfer the identities of Lucas sequences to the latter.
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| 关 键 词： | Fibonacci 数 Pell 数 Jacobsthal数 Lucas数 线性递推关系 脉冲响应序列 |
| 收稿时间： | 2015/4/28 0:00:00 |
| 修稿时间： | 7/8/2015 12:00:00 AM |
Construction of Nonlinear Expression for Recursive Number Sequences |
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| Tianxiao HE.Construction of Nonlinear Expression for Recursive Number Sequences[J].Journal of Mathematical Research with Applications,2015,35(5):473-483. |
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| Authors: | Tianxiao HE |
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| Institution: | Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA |
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| Abstract: | A type of nonlinear expressions of Lucas sequences are established inspired by Hsu A nonlinear expression for Fibonacci numbers and its consequences. J. Math. Res. Appl., 2012, 32(6): 654--658]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order $2$, i.e., the Horadam sequences, we may transfer the identities of Lucas sequences to the latter. |
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| Keywords: | Fibonacci numbers Pell numbers Jacobsthal numbers Lucas numbers linear recurrence relation Horadam sequence impulse response sequence |
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