| 关于Fibonacci多项式的若干性质证明 |
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| 引用本文： | 祁兰,张媛. 关于Fibonacci多项式的若干性质证明[J]. 甘肃科学学报, 2017, 29(4). DOI: 10.16468/j.cnki.issn1004-0366.2017.04.003 |
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| 作者姓名： | 祁兰 张媛 |
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| 作者单位： | 榆林学院 数学与统计学院,陕西 榆林,719000 |
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| 基金项目： | 陕西省教育厅专项科研项目 |
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| 摘 要： | Fibonacci多项式是以递推方式定义:F0(x)=1,F1(x)=x,Fn+2(x)=xFn+1(x)+Fn(x)。主要利用代数、组合方法,结合Fibonacci多项式的递推关系,证明了Fibonacci多项式的若干性质,得到了其性质的代数形式的证明。
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| 关 键 词： | Fibonacci多项式 递推关系 代数 |
On the Proving of Some Properties of Fibonacci Polynomial |
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| Qi Lan,Zhang Yuan. On the Proving of Some Properties of Fibonacci Polynomial[J]. Journal of Gansu Sciences, 2017, 29(4). DOI: 10.16468/j.cnki.issn1004-0366.2017.04.003 |
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| Authors: | Qi Lan Zhang Yuan |
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| Abstract: | The Fibonacci polynomial was defined by recursion:F0(x)=1,F1(x)=x,Fn+2(x)=xFn+1(x)+Fn(x).By using the algebraic and combinatorial methods,combined with the recurrence relations of Fibonacci polynomials,some properties of Fibonacci polynomials were proved,and the proofs of algebraic form of its properties were obtained. |
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| Keywords: | Fibonacci polynomial Recurrence relation Algebra |
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