组合数的倒数的级数与对偶三角函数级数恒等式  

The series of reciprocals of combinatorial numbers and identity of the dual trigonometric function series

作　　者：黑宝骊[1] 及万会[1] 

机构地区：[1]银川能源学院(银川大学)基础部,银川永宁750105

出　　处：《西南民族大学学报（自然科学版）》2012年第6期886-895,共10页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：利用一个已知级数,用微分与积分方法得到新的级数恒等式,利用复变函数方法给出系数为组合数倒数的对偶三角函数与系数为组合数倒数的正负相间对偶三角函数级数恒等式.According to known series, this paper uses the method of differential and integral to get series of reciprocals of combinatorial numbers and uses the method of complex function to get the dual trigonometric function series whose coefficients involves reciprocals of binomina! coefficients. This paper also gets identical equation with dual trigonometric function series whose coefficients involves reciprocals of binominal coefficients.

关 键 词：组合数 级数 微分 积分 复变函数 正负相间 对偶 恒等式 

分 类 号：O157[理学—数学]