基于二项式系数与排列数的交错级数型欧拉方程  

Euler Equation Based on Alternating Series Number Pattern of Binomial Coefficient and Arrangement Number

作　　者：孙长军[1] 

机构地区：[1]连云港职业技术学院数学教研室,江苏连云港222006

出　　处：《成都大学学报（自然科学版）》2009年第3期220-222,共3页Journal of Chengdu University（Natural Science Edition）

摘　　要：通过把系数含有排列数与二项式系数的交错级数型欧拉线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,所得定理给出了严格的证明,并通过实例介绍了它的应用.By transforming the alternating series type Euler equation with coefficient contains arrangement number and binomial coefficients into the linear differential equation of successive integration,the theory and method for the general solution of this kind of equation are determined.The theorem obtained is proved strictly and its application is introduced by examples.

关 键 词：二项式系数 排列数 交错级数 欧拉方程 逐次积分 

分 类 号：O175.6[理学—数学]