학술논문
三角级数的解析求解与应用 / Analytical Solution and Application of Trigonometric Series
Document Type
Academic Journal
Author
陶正奎; 王玉凤; 施逸洋; 王越超; 孙嘉泽; 李喜彬; TAO Zhengkui; WANG Yufeng; SHI Yiyang; WANG Yuechao; SUN Jiaze; LI Xibin
Source
高等数学研究 / Studies in College Mathematics. 27(1):108-112
Subject
Language
Chinese
ISSN
1008-1399
Abstract
利用欧拉公式,将三角级数可以转化为幂级数,进而利用泰勒展开等手段,得到幂级数的收敛函数.利用三角函数的周期性,还可以得到一些级数的解析结果.通过几个例题,可以加深对此类问题的理解.
By Euler formula,a trigonometric series can be transformed into a power series,and then using Taylor series to obtain the sum function.By using the periodicity of trigonometric function,we can also get some analytical results of the series.Through several examples,we can deepen the understanding of such problems.
By Euler formula,a trigonometric series can be transformed into a power series,and then using Taylor series to obtain the sum function.By using the periodicity of trigonometric function,we can also get some analytical results of the series.Through several examples,we can deepen the understanding of such problems.