贝努里数欧拉数表示黎曼zeta函数连带双曲函数  

Bernoulli Numbers and Euler Numbers Representation of Riemann zeta Function Associated Hyperbolic Function

作　　者：张来萍[1] 黑宝骊[1] 及万会[1] ZHANG Laiping;HEI Baoli;JI Wanhui(Department of Basic, Yinchuan Energy college, Yinchuan 750105, China)

机构地区：[1]银川能源学院基础部,宁夏银川750105

出　　处：《河南教育学院学报（自然科学版）》2018年第1期9-14,共6页Journal of Henan Institute of Education(Natural Science Edition)

基　　金：宁夏高校科研基金项目(NGY2017253)

摘　　要：利用级数乘积公式和Cauchy留数定理给出Bernoulli数和Euler数表示黎曼zeta函数连带双曲函数的计算公式,并给出一些黎曼zeta函数连带双曲函数的封闭型数值恒等式.Using multiplicative formulas of series and Cauchy＇s residue theorem,get the formulas of Riemann zeta function associated hyperbolic function represented by Bernoulli numbers and Euler numbers.And get some closed form calculation formulas of Riemann zeta function associated hyperbolic function.

关 键 词：BERNOULLI数 EULER数 双曲函数 Cauchy留数定理 多项式 级数 

分 类 号：O173[理学—数学]