| Stirling数与精细划分数的关系 |
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| 引用本文： | 孙建新.Stirling数与精细划分数的关系[J].绍兴文理学院学报,1992(5). |
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| 作者姓名： | 孙建新 |
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| 作者单位： | 绍兴师专数学系 |
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| 摘 要： | 本文利用划分数网络(泛巴斯卡三角),建立了第一类:tiiling数与精细划分数之间的关系(定理1);并指出两类划分数的递归关系均可在划分数网络上推出,二者的区别仅在于邻阶同次划分间的连线重数:第一类:stirling数的重数为m_1k_m,而第二类stirling数的重数为k_m1.
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| 关 键 词： | 精细划分数 划分数网络 第一类stirling数 第二类stirling数 递归关系 |
The Relation between Stirling Number and Fine-Partition Number |
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| Sun Jianxin.The Relation between Stirling Number and Fine-Partition Number[J].Journal of Shaoxing College of Arts and Sciences,1992(5). |
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| Authors: | Sun Jianxin |
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| Institution: | Deparment of Mathematies |
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| Abstract: | In this paper, we discuss the relation between first Stirling number and fine-partition number by means of partition network (i. e. Pan Pascal's triangle). The main result is the follwing theorem Th. l Le t denote the first fine-partition number, we have where |
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| Keywords: | fine-partition number partition network firat Stirling number second Stirling number recuraive relation |
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