一类特殊级数的和函数  

On the Sum of a Series

作　　者：张维荣[1] 

机构地区：[1]南京工业大学应用数学系,南京210009

出　　处：《高等数学研究》2010年第4期33-34,共2页Studies in College Mathematics

摘　　要：利用k次单位根及其正交性得到级数∑∞n=0xkn+l/(kn+l)!的和函数.它与利用微分方程理论来求级数的和有很大区别.作为应用,得到了一些特殊级数的和.The sum of series ∞∑n=0xkn＋1/（kn＋l）! is obtained by using the k-th roots of unity and theirorthogonality. This method is greatly different from the theory of ordinary differential equation which is used to deal with the sum of series, wherewith this, sums of some special series can be got.

关 键 词：单位根 正交性 微分方程 

分 类 号：O173[理学—数学]