| 对称群循环指标的性质及应用 |
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| 引用本文： | 王冰岩,程元玲.对称群循环指标的性质及应用[J].山东理工大学学报,2014(2):40-43. |
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| 作者姓名： | 王冰岩 程元玲 |
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| 作者单位： | [1]中国海洋大学数学科学学院,山东青岛266100 [2]淄博职业学院建筑工程学院,山东淄博255314 |
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| 摘 要： | 根据Bell多项式与对称群循环指标的关系式,给出对称群的循环指标在二项式型多项式序列以及卷积多项式序列方面的性质,最后得到一些新的组合恒等式.
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| 关 键 词： | 对称群的循环指标 Bell多项式 二项式型多项式序列 卷积多项式序列 |
The properties and applications of the cycle index of symmetry group |
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| WANG Bing-yan,CHENG Yuan-ling.The properties and applications of the cycle index of symmetry group[J].Journal of Shandong University of Technology:Science and Technology,2014(2):40-43. |
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| Authors: | WANG Bing-yan CHENG Yuan-ling |
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| Institution: | 1. Department of Mathematics, Ocean University of China, Qingdao 266100, China; 2. Department of Building Engineering, Zibo Vocational Institute, Zibo 255314, China) |
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| Abstract: | In view of the relationship of the Bell polynomial and the cycle index of symmetry group, the properties of the cycle index of symmetry group in binomial polynomial sequences and convolution of polynomial sequences were given, in the end, some new combinatorial identities were obtained. |
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| Keywords: | the cycle index of symmetry group Bell polynomials convolution of polynomial se-quences binomial polynomial sequences |
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