| 论一种用到Howard广义斯特灵数的求和公式 |
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| 引用本文： | 唐志华,徐沥泉.论一种用到Howard广义斯特灵数的求和公式[J].数学研究及应用,2010,30(6):992-996. |
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| 作者姓名： | 唐志华 徐沥泉 |
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| 作者单位： | 江苏教育学院学前分院, 江苏 南京 210004;无锡市教育研究中心, 江苏 无锡 214001 |
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| 摘 要： | It is shown that Howard＇s degenerate weighted Stirling numbers can be used to construct a fruitful summation formula for a class of formal power series involving generalized factorials.This is achieved with the aid of a series-transformation formula due to He,Hsu and Shiue,and several identities involving generalized Stirling numbers and Bell numbers are given to illustrate the application of the formula obtained.
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| 关 键 词： | generalized factorial Howard＇s GSN series-transformation formula formal series summation. |
| 收稿时间： | 2009/1/15 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
On a Kind of Summation Formula Using Howard's Generalized Stirling Numbers |
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| Zhi Hua TANG and Li Quan XU.On a Kind of Summation Formula Using Howard's Generalized Stirling Numbers[J].Journal of Mathematical Research with Applications,2010,30(6):992-996. |
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| Authors: | Zhi Hua TANG and Li Quan XU |
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| Institution: | 1. Nanjing Higher Normal Preschool, Jiangsu 210004, P. R. China
2. Wuxi Education Research Center, Jiangsu 214001, P. R. China |
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| Abstract: | It is shown that Howard's degenerate weighted Stirling numbers can be used to construct a fruitful summation formula for a class of formal power series involving generalized factorials. This is achieved with the aid of a series-transformation formula due to He, Hsu and Shiue, and several identities involving generalized Stirling numbers and Bell numbers are given to illustrate the application of the formula obtained. |
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| Keywords: | generalized factorial Howard's GSN series-transformation formula formal series summation |
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