Clausen函数表示一类级数恒等式  

The Clausen Function Representations of One Class Infinite Series

作　　者：张来萍 张炳彩[1] 及万会 ZHANG Lai-ping;ZHANG Bing-cai;JI Wan-hui(Xinhua College Ningxia University,Yinchuan 750021,China;Ningxia Vocational and Technical College for Nationalities,Wuzhong 751100,China)

机构地区：[1]宁夏大学新华学院,宁夏银川750021 [2]宁夏民族职业技术学院基础部,宁夏吴忠751100

出　　处：《数学的实践与认识》2020年第9期223-229,共7页Mathematics in Practice and Theory

基　　金：宁夏高校科研基金项目(NGY2017253)。

摘　　要：利用已知级数,使用积分得到分母含有平方因子二项式系数级数与分母含有3次方因子的二项式系数倒数级数.和式用Clausen函数表示.并给出分母含有平方因子与3次方因子二项式系数级数与二项式系数倒数的数值级数恒等式.According to a known series,using integrals way we can structure several new series of reciprocal of binomial coefficients.These denominators containing square factors and cubic factors.The sums of series represented by Clausen function.Some identities of series of numbers values of binomial coefficients are given.

关 键 词：Clausen函数 平方因子 3次方因子 级数 

分 类 号：O173[理学—数学]