| 植物叶序中的Fibonacci数与Lucas数的反演 |
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| 引用本文： | 胡宏.植物叶序中的Fibonacci数与Lucas数的反演[J].安徽农业科学,2009,35(19):8812-8813. |
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| 作者姓名： | 胡宏 |
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| 作者单位： | 淮阴师范学院数学系,江苏淮安,223300 |
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| 基金项目： | 江苏省高校自然科学基础研究面上项目 |
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| 摘 要： | 植物的叶序与Fibonacci数和Lucas数有着密切关系，根据Fibonacci数与Lucas数的递推关系，利用母函数的方法，研究Fibonacci数与Lucas数的反演关系，揭示了植物叶序的内在现象。
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| 关 键 词： | 叶序 Fibonacci数 Lucas数 母函数 |
Reversion of Fibonacci Numbers and Lucas Numbers in Plant Phyllotaxis |
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| HU Hong.Reversion of Fibonacci Numbers and Lucas Numbers in Plant Phyllotaxis[J].Journal of Anhui Agricultural Sciences,2009,35(19):8812-8813. |
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| Authors: | HU Hong |
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| Institution: | HU Hong ( Department of Mathematics, Huaiyin Teachers College, Huaian, Jiangsu 223300) |
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| Abstract: | Plant phyllotaxis is closely related to Fibonacci numbers and Lucas numbers.Based on the recursive relations between Fibonacci numbers and Lucas numbers, some reversible relations between Fibonacci numbers and Lucas numbers were studied by using generating function.The inherent phenomenon of plant phyllotaxis was revealed. |
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| Keywords: | Phyllotaxis Fibonacci numbers Lucas numbers Generating function |
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