摘要
给出含参数型交错级数的定义,并给出其收敛域.重点讨论了一类交错幂级数的收敛域以及和函数,作为应用,得到了一系列特殊交错级数的和.
Alternating series with parameters is defined,and its convergence region is given.The convergence region and its sum function of a kind of alternating power series are discussed emphatically,as an application,the sum of a series of special alternating series is obtained.
作者
孔庆海
KONG Qing-hai(Department of Mathematics,Northeastern University,Shenyang 110004,China)
出处
《高师理科学刊》
2019年第6期11-14,共4页
Journal of Science of Teachers'College and University
关键词
交错级数
幂级数
收敛性
和函数
alternating series
power series
convergence
sum function