| 关于两类Lucas序列的一些恒等式 |
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| 引用本文： | 李军庄,王念良. 关于两类Lucas序列的一些恒等式[J]. 海南大学学报(自然科学版), 2008, 26(2): 114-118 |
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| 作者姓名： | 李军庄 王念良 |
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| 作者单位： | 商洛学院数学研究所,陕西,商洛,726000 |
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| 基金项目： | 国家自然科学基金 , 陕西省科研项目 , 商洛学院校科研和教改项目 |
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| 摘 要： | 研究了两类Lucas序列的乘积和问题．利用解析方法给出了第1类Lucas序列和第2类Lucas序列的恒等式．作为应用，给出了几个关于Fibonacci数和Lucas数的恒等式．
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| 关 键 词： | 第1类Lucas序列 第2类Lucas序列 恒等式 积和式 |
Some Identities Involving two Kinds of Lucas Series |
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| LI Jun-zhang,WANG Nian-liang. Some Identities Involving two Kinds of Lucas Series[J]. Natural Science Journal of Hainan University, 2008, 26(2): 114-118 |
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| Authors: | LI Jun-zhang WANG Nian-liang |
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| Affiliation: | ( Department of Mathematics, Institute of Mathematics of Shangluo University, Shangluo 726000, China) |
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| Abstract: | To study the problem of product summation of two kinds of Lucas series. The authors prove some identities involving the first kind of and second kind of Lucas series by analytic methods. According those identities, The authors obtained some identities on Fibonacci numbers and Lucas numbers. |
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| Keywords: | first kind of Lucas series second kind of Lucas series identities product summation. |
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