| 涉及高阶Apostol-Euler数、错排数与第一类Stirling数之间的几个恒等式 |
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| 引用本文： | 李志荣,李映辉. 涉及高阶Apostol-Euler数、错排数与第一类Stirling数之间的几个恒等式[J]. 吉林大学学报(理学版), 2007, 45(4): 515-518 |
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| 作者姓名： | 李志荣 李映辉 |
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| 作者单位： | 中山火炬职业技术学院,信息工程系,广东省,中山,528436;西南交通大学,应用力学与工程系,成都,610031 |
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| 摘 要： | 使用发生函数方法， 建立高阶Apostol Euler数、 错排数与第一类Stirling数之间的恒等式， 得到关于高阶Apostol Euler数、 Apostol Euler数、 高阶Euler数及Euler数的计算公式.
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| 关 键 词： | 高阶Apostol-Euler数 高阶Euler数 错排数 第一类Stirling数 恒等式 发生函数 |
| 文章编号： | 1671-5489（2007）04-0515-04 |
| 收稿时间： | 2006-10-08 |
| 修稿时间： | 2006-10-08 |
Several Identities Involving Apostol-Euler Numbers of Higher Order, Wrong Permutation Numbers and Stirling Numbers of First Kind |
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| LI Zhi-rong,LI Ying-hui. Several Identities Involving Apostol-Euler Numbers of Higher Order, Wrong Permutation Numbers and Stirling Numbers of First Kind[J]. Journal of Jilin University: Sci Ed, 2007, 45(4): 515-518 |
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| Authors: | LI Zhi-rong LI Ying-hui |
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| Affiliation: | 1. Department of Information Engineering, Zhongshan Torch College, Zhongshan 528436, Guangdong Province, China; 2. Department of Applied Mechanics and Engineering, Southwest Jiaotong Univesity， Chengdu 610031, China |
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| Abstract: | Several identities involving Apostol-Euler numbers of higher order, wrong permutation numbers and Stirling numbers of the first kind are established by means of the method of generating function, and computational formulas of Apostol-Euler numbers of higher order, Apostol-Euler numbers, Euler numbers of higher order and Euler numbers are given. |
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| Keywords: | Apostol-Euler number of higher order Euler number of higher order wrong permutation number Stirling number of the first kind identity generating function |
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