分母为奇平方因子的二项式系数级数  

The Series of Binomial Coefficients of Denominator Containing Square Factors

作　　者：张来萍[1] 及万会[1] ZHANG Lai-ping;JI Wan-hui(Department of Basic,Yinchuan Energy College,Yinchuan 750105 China)

机构地区：[1]银川能源学院基础部

出　　处：《数学的实践与认识》2018年第20期222-233,共12页Mathematics in Practice and Theory

基　　金：宁夏高校科研基金项目(NGY2017253)

摘　　要：根据一个已知级数，利用正弦积分与Clausen函数的结果，使用积分一裂项方法得到分母为1个平方因子，平方因子与1个，2个，3个一次因子乘积的二项系数级数．所给出二项式系数级数的和式是函数形式．并给出分母含有奇平方因子的二项式系数数值级数恒等式．Using one known series and integral of sin, we can structure several new series of binominal coefficients by integral- splitting items. Their denominator factor has a square, and square factor and 1, 2, 3 product of each factor Some series of numbers values of binominal coefficients of denominator containing square factors are given.

关 键 词：二项式系数 平方因子 Clause数 裂项 级数 

分 类 号：O173[理学—数学]