| 两对加权Stirling数偶及其性质 |
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| 引用本文： | 于洪全 王天明. 两对加权Stirling数偶及其性质[J]. 大连理工大学学报, 1996, 36(4): 386-390 |
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| 作者姓名： | 于洪全 王天明 |
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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： | 从非中心变步长差与正常差分之间的转换关系出发，导出两对加权型Ｓｔｉｒｌｉｎｇ数偶并讨论了它们的性质，所得结果是Ｃａｒｌｉｔｚ及Ｈｏｗａｒｄ分别讨论了退化Ｓｉｒｌｉｎｇ数的直交扩展，并可用于生成一类反演关系。
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| 关 键 词： | 反演关系 Stirling数 组合分析 加权型 |
On two weighted Stirling type pairs |
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| Yu Hongquan,Wang Tianming. On two weighted Stirling type pairs[J]. Journal of Dalian University of Technology, 1996, 36(4): 386-390 |
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| Authors: | Yu Hongquan Wang Tianming |
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| Abstract: | Two weighted Stirling type pairs are derived via the transformations of coefficients between different kinds of non central finite differences with given increments. A quasi Schlmilch formula is proved. The results are orthogonal extensions of the previous results by Howard and Carlitz. |
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| Keywords: | finite difference/reciprocal functions inverse relations |
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