| 高阶Genocchi多项式、高阶Euler多项式与Stirling数的关系 |
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| 引用本文： | 石磊.高阶Genocchi多项式、高阶Euler多项式与Stirling数的关系[J].海南大学学报(自然科学版),2010,28(3):201-204,208. |
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| 作者姓名： | 石磊 |
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| 作者单位： | 商洛学院,数学与计算科学系,陕西,商洛,726000 |
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 利用生成函数与组合分析的方法研究高阶Genocchi多项式、高阶Euler多项式与Stirling数的关系,给出了用Stirling数计算高阶Genocchi多项式和高阶Euler多项式的公式.
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| 关 键 词： | 高阶Genocchi数 高阶Genocchi多项式 高阶Euler多项式 第1类Stirling数 第2类Stirling数 |
Relationship of Higher-order Genocchi Polynomials,Higher-order Euler Polynomials and Stirling numbers |
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| SHI Lei.Relationship of Higher-order Genocchi Polynomials,Higher-order Euler Polynomials and Stirling numbers[J].Natural Science Journal of Hainan University,2010,28(3):201-204,208. |
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| Authors: | SHI Lei |
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| Institution: | SHI Lei(Department of Mathematic and Computation Science,Shangluo College,Shangluo 726000,China) |
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| Abstract: | The relationship of higher-order Genocchi polynomials and higher-order Euler polynomials to Stirling numbers was investigated by the methods of generating function and combinatorial analysis.The formulas for computation of the higher-order Genocchi polynomials and higher-order Euler polynomials with the Stirling numbers were presented. |
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| Keywords: | higher-order Genocchi number higher-order Genocchi polynomials higher-order Euler polynomials Stirling number of the first kind Stirling number of the second kind |
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