有关高阶的Genocchi数、Euler数与Bernoulli数的一些恒等式  

Some identities related to the higher order Genocchi numbers,Euler numbers and Bernoulli numbers

作　　者：李志荣[1] 劳汉生[1] 

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

出　　处：《安徽大学学报（自然科学版）》2008年第2期12-14,共3页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(799700080);中山市科技计划基金资助项目(20073A177)

摘　　要：根据高阶Euler数、高阶Bernoulli数及高阶Genocchi数定义,利用发生函数方法建立起高阶Euler数、高阶Bernoulli数与高阶Genocchi数之间的恒等式,得到这些高阶数分别用其他普通数表示的几组计算公式,推广了已有的相关结果.By using the method of generating function and definition of the higher order Euler numbers, the higher order Bernoulli number, and the higher order Genocchi number, some identities related to the higher order Euler numbers, the higher order Bernoulli numbers, and the higher order Genocchi numbers were established, some computational formulas of these higher order numbers expressed by other general numbers were given, and those results generalized the existing results.

关 键 词：高阶Genocchi数 高阶EULER数 高阶BERNOULLI数 恒等式 发生函数 

分 类 号：O157.1[理学—数学]