一个双曲函数无穷乘积表达式的应用  

Some Applications of the Infinite Product's Expression with Hyperbolic Function

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)

机构地区：[1]咸阳宝石钢管钢绳有限公司,陕西咸阳712000 [2]全国不等式研究会,浙江海宁314400

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

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.

关 键 词：无穷乘积 双曲函数 无穷级数 

分 类 号：O173[理学—数学]