广义m阶Bell数和广义m阶有序Bell数的计算公式

广义m阶Bell数和广义m阶有序Bell数的计算公式

李志荣

中山火炬职业技术学院信息工程系，广东中山528436

收稿日期:2006-05-19 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李志荣

Computational formulae of generalized m-th-order Bell numbers and generalized m-order orderd Bell numbers

LI Zhi-rong

Department of Information Engineering, Zhongshan Torch College, Zhongshan 528436, Guangdong, China

Received:2006-05-19 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LI Zhi-rong

摘要/Abstract

摘要： 使用发生函数方法和计算技巧，利用第一类Stirling数和第二类Stirling数分别给出广义m阶Bell数和广义m阶有序Bell数的计算公式，同时也给出它们的递推公式．

关键词: 广义m阶Bell数, 广义m阶有序Bell数, 发生函数 , 递推公式, Stirling数, 计算公式

Abstract: By using the method of generating function and the technique of calculating,computational fomular of generalized m-th-order Bellnumbers and ggeneralized m-th-order orderd Bell numbers are given by the first kind of Stirling numbers and the second kind of Stirling numbers.In addition,their recurrence formulae are given.

Key words: generating function , recurrence formulae, Stirling number, computational formulae, generalized m-th-order ordered Bell number, generalized m-th-order Bell number

中图分类号:

O157.1

李志荣 . 广义m阶Bell数和广义m阶有序Bell数的计算公式[J]. J4, 2007, 42(2): 59-63 .

LI Zhi-rong . Computational formulae of generalized m-th-order Bell numbers and generalized m-order orderd Bell numbers[J]. J4, 2007, 42(2): 59-63 .

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