| 基于Fibonacci数奇数次方的积和式 |
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| 引用本文： | 王永兴.基于Fibonacci数奇数次方的积和式[J].渭南师范学院学报,2011(12):9-13. |
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| 作者姓名： | 王永兴 |
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| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
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| 基金项目： | 陕西省教育厅科研计划项目(2010JK538);陕西省基础数学重点学科资助项目 |
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| 摘 要： | 根据第二类Chebyshev多项式的性质以及其与Fibonacci数列的关系，用初等方法得到了关于Fibonacci数奇数次方的积和式．
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| 关 键 词： | Chebyshev多项式 Fibonacci数列 Lucas数列 积和式 |
Sum of Products Based on Fibonacci Numbers Odd Power |
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| WANG Yong-xing.Sum of Products Based on Fibonacci Numbers Odd Power[J].Journal of Weinan Teachers College,2011(12):9-13. |
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| Authors: | WANG Yong-xing |
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| Institution: | WANG Yong-xing (School of Mathematics Information Science,Weinan Teachers University,Weinan 714000,China) |
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| Abstract: | Using the properties of the second Chebyshev polynomials and the relationship with Fibonacci numbers,the sum of products Fibonacci numbers odd power is obtained with some elementary methods of number theory. |
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| Keywords: | Chebyshev polynomials Fibonacci numbers Lucas numbers sum of products |
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