| 关于错排数与Bell数的一些循环公式 |
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| 引用本文： | 何圆,潘静.关于错排数与Bell数的一些循环公式[J].数学研究及应用,2016,36(1):15-22. |
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| 作者姓名： | 何圆 潘静 |
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| 作者单位： | 昆明理工大学理学院, 云南 昆明 650500;昆明理工大学理学院, 云南 昆明 650500 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11326050;11071194),昆明理工大学人培基金项目(Grant No.KKSY201307047). |
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| 摘 要： | In this paper, a further investigation for the number of Derangements and Bell numbers is performed, and some new recursion formulae for the number of Derangements and Bell numbers are established by applying the generating function methods and Padé approximation techniques. Illustrative special cases of the main results are also presented.
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| 关 键 词： | Bell数 pad\'{e} 估计 循环公式 |
| 收稿时间： | 1/6/2015 12:00:00 AM |
| 修稿时间： | 2015/5/27 0:00:00 |
Some Recursion Formulae for the Number of Derangements and Bell Numbers |
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| Yuan HE and Jing PAN.Some Recursion Formulae for the Number of Derangements and Bell Numbers[J].Journal of Mathematical Research with Applications,2016,36(1):15-22. |
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| Authors: | Yuan HE and Jing PAN |
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| Institution: | Faculty of Science, Kunming University of Science and Technology, Yunnan 650500, P. R. China;Faculty of Science, Kunming University of Science and Technology, Yunnan 650500, P. R. China |
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| Abstract: | In this paper, a further investigation for the number of Derangements and Bell numbers is performed, and some new recursion formulae for the number of Derangements and Bell numbers are established by applying the generating function methods and Pad\'{e} approximation techniques. Illustrative special cases of the main results are also presented. |
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| Keywords: | the number of Derangements Bell numbers Pad\'{e} approximants recursion formulae |
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