| 涉及广义Fibonacci数的组合恒等式 |
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| 引用本文： | 柳杨,刘英,徐雯娟.涉及广义Fibonacci数的组合恒等式[J].长春师范学院学报,2009(4). |
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| 作者姓名： | 柳杨 刘英 徐雯娟 |
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| 作者单位： | 重庆通信学院数学教研室; |
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| 摘 要： | 在组合数论中,涉及Fibonacci及广义Fibonacci数的恒等式是一个非常深入和永久的问题,研究方法多种多样,其中发生函数的方法是证明和得到组合恒等式的一个基本而且重要的方法。本文通过发生函数的方法并结合微分,得到了关于广义Fibonacci组合恒等式.
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| 关 键 词： | 发生函数 恒等式 广义Fibonacci |
Combinatorial Identity Involving Generalized Fibonacci Numbers |
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| LIU Yang,LIU Ying,XU Wen-juan.Combinatorial Identity Involving Generalized Fibonacci Numbers[J].Journal of Changchun Teachers College,2009(4). |
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| Authors: | LIU Yang LIU Ying XU Wen-juan |
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| Institution: | Department of Mathematics;Chongqing Communication Institute;Chongqing 400035;China |
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| Abstract: | In combinatorial number theory,the problem of identities involving the Fibonacci and generalized Fibonacci numbers is thorough and far back.There are many methods to study combinatorial identity,of which the generating function is basic and important.In this paper,through generating function and diff,we get several equations about the generalized Fibonacci. |
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| Keywords: | generating function identity generalized Fibonacci number |
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