广义Cauchy数的一些恒等式  

Some Identities Related to the Generalized Cauchy Numbers

作　　者：李志荣[1] 肖冰[2] 袁文俊[3] 

机构地区：[1]中山火炬职业技术学院信息工程系,广东中山528436 [2]新疆师范大学数学系,乌鲁木齐830054 [3]广州大学数学与信息科学学院,广州510006

出　　处：《吉林大学学报（理学版）》2009年第1期17-20,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771220);中山市科技计划项目基金(批准号:20073A177)

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.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.

关 键 词：广义Cauchy数 STIRLING数 BERNOULLI数 EULER数 发生函数 

分 类 号：O157.1[理学—数学]