摘要
在留数定理及Jordan引理的基础上,提出了一个新的引理,进而发展了计算含三角函数无穷积分的一种新方法.作为应用,计算了几个典型的含三角函数的无穷积分.
Based on the residue theorem and the so-called Jordan＇s lemma, a new lemma is proposed to treat integrals along an arc of infinitely increasing radius. A modified approach is suggested to evaluate infinite integrals involving sine and cosine functions. Some illustrative examples are given and thus the effectivity and simplicity of this approach are shown.
出处
《大学物理》
北大核心
2011年第2期53-57,共5页
College Physics
关键词
含三角函数无穷积分
解析函数
围道积分
留数定理
infinite integrals involving sine and cosine functions
analytic functions
contour integration
residue theorem
