| 广义Cauchy数的一些恒等式 |
| |
| 引用本文： | 李志荣,肖冰,袁文俊. 广义Cauchy数的一些恒等式[J]. 吉林大学学报(理学版), 2009, 47(1): 17-20 |
| |
| 作者姓名： | 李志荣 肖冰 袁文俊 |
| |
| 作者单位： | 中山火炬职业技术学院,信息工程系,广东,中山,528436;新疆师范大学,数学系,乌鲁木齐,830054;广州大学,数学与信息科学学院,广州,510006 |
| |
| 基金项目： | 国家自然科学基金，中山市科技计划项目 |
| |
| 摘 要： | 利用Stirling数给出广义Cauchy数的显式计算公式, 并讨论其分别与Stirling数、 Bernoulli数和Euler数之间的关系, 得到了包含广义Cauchy数的一些恒等式, 并改进了已有的卷积公式.
|
| 关 键 词： | 广义Cauchy数 Stirling数 Bernoulli数 Euler数 发生函数 |
| 收稿时间： | 2008-02-23 |
Some Identities Related to the Generalized Cauchy Numbers |
| |
| LI Zhi-rong,XIAO Bing,YUAN Wen-jun. Some Identities Related to the Generalized Cauchy Numbers[J]. Journal of Jilin University: Sci Ed, 2009, 47(1): 17-20 |
| |
| Authors: | LI Zhi-rong XIAO Bing YUAN Wen-jun |
| |
| Affiliation: | 1. Department of Information Engineering, Zhongshan Torch College, Zhongshan 528436, Guangdong Province, China;2. Department of Mathematics, Xinjiang Normal University, Urumuqi 830054, China；3. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China |
| |
| Abstract: | An explicit computational formula of the generalized Cauchy numbers was given by means of the Stirling numbers,and then the relationships of the explicit computational formula with each of the Stirling numbers,Bernoulli numbers and Euler numbers were discussed,and some identities involving the Cauchy numbers were obtained.At last,we also improved the convolution formula which has been given. |
| |
| Keywords: | generalized Cauchy number Stirling number Bernoulli number Euler number generating function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
|
