涉及高阶Apostol-Genocchi数的一些计算公式  

Some computational formulas related to higher order apostol-genocchi numbers

作　　者：李志荣[1] 袁文俊[2] 白静[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 [2]广州大学数学与信息科学学院,广东广州510006

出　　处：《安徽大学学报（自然科学版）》2009年第1期25-27,共3页Journal of Anhui University(Natural Science Edition)

基　　金：中山市科技计划基金资助项目(20073A177)

摘　　要：根据Apostol-Genocchi数及高阶Apostol-Genocchi数定义,使用发生函数的方法和计算技巧,建立高阶Apostol-Genocchi数与第一类Stirling数之间的恒等式,得到用两类Stirling数给出的高阶Apostol-Genocchi数、Apostol-Genocchi数及高阶Genocchi数的一些计算公式,并得到涉及高阶Genocchi数、高阶Euler数及高阶Bernoulli数的一些恒等式.By using the method of generating function, the technique of calculating, the definition of the Apostol-Genocchi numbers and the higher order Apostol-Genocchi number, some identity related to high order Apostol-Genocchi number and Stirling numbers were established, and some computational formulas involving high order Apostol-Genocchi number, Apostol-Genocchi number and high order Genocchi numbers were given by Stirling numbers of two kind. Some identities related to the higher order Genocchi numbers, higher order Euler numbers and higher order Bernoulli numbers were given.

关 键 词：高阶Apostol-Genocchi数 高阶Genocchi数 STIRLING数 恒等式 发生函数 

分 类 号：O157.1[理学—数学]