摘要
给出了无穷乘积的定义以及无穷乘积的许多重要性质,借助于无穷级数的敛散性讨论无穷乘积的敛散性.依据级数理论以及无穷乘积与级数的关系,对正项无穷乘积的敛散性进行讨论,并给出了几种特殊的无穷乘积的收敛性判别方法.
The infinite product is one part of mathematical analysis. The definition and many important properties of the infinite product are given in the paper. The paper especially discusses the convergence and divergence of infinite product with the series. It also discusses the convergence and divergence of positive infinite product with the relationship between series and infinite product. Besides, some ways are given to judge convergence of special infi- nite product.
出处
《常熟理工学院学报》
2010年第8期1-5,共5页
Journal of Changshu Institute of Technology
关键词
无穷乘积
部分积
级数
收敛
infinite product
partial product
series
convergence
