摘要
在数值级数求和过程中,可将幂级数在特殊点的值和傅里叶级数展开式取特定点的值的方法与求数值级数的和巧妙的联系在一起.特别是提供了一种利用复函数求此类型级数的和的方法,并得到了可直接应用的结果.不过,当f(x)=x^3与f(x)=x^4时,其傅里叶展开情况与p级数之间的关联还有待研究.
The value of power series and Fourier series expansion at specific points can be used in the summation of numeral series and a method of using complex function is offered and has obtained the result of direct application,but the relationship between the Fourier series expansion and p series remains to be studied when f(x) = x^3 and f(x) = x^4.
出处
《玉溪师范学院学报》
2013年第4期15-20,共6页
Journal of Yuxi Normal University
关键词
数值级数求和
幂级数
复数
傅里叶级数
summation of numeral series
power series
complex number
Fourier series
