| 相对Riordan群及三个广义恒等式 |
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| 引用本文： | 阴东升.相对Riordan群及三个广义恒等式[J].大连理工大学学报,1999(1). |
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| 作者姓名： | 阴东升 |
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| 作者单位： | 大连理工大学数学科学研究所 |
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| 摘 要： | 给出了比Ｒｉｏｒｄａｎ群更具概括力的相对Ｒｉｏｒｄａｎ群的概念，证明了Ｈｓｕ－Ｒｉｏｒｄａｎ－Ｓｔｉｒｌｉｎｇ数偶定理；给出了Ｌａｇｒａｎｇｅ群在Ｒｉｏｒｄａｎ群中的一类同构像；用Ｒｉｏｒｄａｎ阵的方法，证明了Ｈａｒｄｙ恒等模式、参数化的ＶａｎＥｂｂｅｎｈｏｒｓｔ－Ｔｅｎｇｂｅｒｇｅｎ恒等式及参数化的Ｒｕｓｋｅｙ恒等式．
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| 关 键 词： | 组合恒等式／相对Riordan群 Riordan阵 Hsu－Rior－dan－Stirling数偶 Lagrange群 Hardy恒等模式 |
Relative Riordan group and three generalized identities |
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| YIN,Dong sheng.Relative Riordan group and three generalized identities[J].Journal of Dalian University of Technology,1999(1). |
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| Authors: | YIN Dong sheng |
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| Abstract: | ? This paper gives the concept of relative Riordan group which is a generalization of the concept of Riordan group, proves Hsu Riordan Stirling number pair theorem, and also gives a kind of isomorphic images of Lagrange group in Riordan group and proves Hardy's pattern of identity, a parameterized identity of Van Ebbenhorst Tengbergen as well as a parameterized identity of Ruskey by the method of Riordan arrays. |
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| Keywords: | combinatorial identity/relative Riordan group Riordan array Hsu Riordan Stirling number pair Lagrange group Hardy's pattern of identity |
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