摘要
在已知无穷乘积知识的基础上,证明了一个关于双曲函数的无穷乘积定理.根据定理,推广了一些无穷乘积和无穷级数的著名结论.
On the basis of the known knowledge of infinite product, an infinite product's theorem with hyperbolic function is proved. According to the theorem, some well-known conclusions regarding infinite product and trigonometric function are extended.
作者
沈志军
朱桂平
SHEN Zhijun;ZHU Guipingl(Xianyang BOMCO Steel Tube & Wire Rope Co Ltd,Xianyang,Shaanxi,712000,P.R.China;Chinese Soeiety of Inequalities and Applieations,Haining,Zhejiang,314400,P.R.China)
出处
《广东第二师范学院学报》
2018年第5期39-46,共8页
Journal of Guangdong University of Education
关键词
无穷乘积
双曲函数
无穷级数
infinite product
hyperbolic function
infinite series