| 关于高阶Genocchi数和广义Lucas多项式的恒等式 |
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| 引用本文： | 梁放驰,井爱雯.关于高阶Genocchi数和广义Lucas多项式的恒等式[J].大学数学,2010,26(3). |
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| 作者姓名： | 梁放驰 井爱雯 |
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| 作者单位： | 空军工程大学,理学院,西安,710051 |
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| 基金项目： | 陕西省自然基金资助项目 |
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| 摘 要： | 利用组合数学的方法,得到了一些包含高阶Genocchi数和广义Lucas多项式的恒等式,并且由此建立了Fibonacci数与Riemann Zeta函数的关系式.
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| 关 键 词： | 高阶Genocchi数 广义Lucas多项式 Fibonacci数 Riemann Zeta函数 |
Some Identities Involving Higher Order Genocchi Numbers and Generalized Lucas Polynomials |
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| LIANG Fang-chi,JING Ai-wen.Some Identities Involving Higher Order Genocchi Numbers and Generalized Lucas Polynomials[J].College Mathematics,2010,26(3). |
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| Authors: | LIANG Fang-chi JING Ai-wen |
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| Abstract: | By using the combinatorial methods,some identities involving higher order Genocchi numbers and generalized Lucas polynomials have been given,furthermore the relationship formula of Fibonacci numbers and Riemann Zeta-function has been established in the paper. |
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| Keywords: | higher order Genocchi numbers generalized Lucas polynomials Fibonacci numbers Riemann Zeta-function |
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