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.
作者
张来萍
张炳彩
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)
出处
《数学的实践与认识》
北大核心
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)。
关键词
Clausen函数
平方因子
3次方因子
级数
binomial coefficient
Clausen function
series
square factors
cubic factors
