%0 Journal Article
%T 无穷区间反常积分的积分变换计算方法<br>The Method of Integral Transformation Calculation of Improper Integral in Infinite Interval
%A 程慧
%A 郭丰家
%A 韩萍
%A 何桂添
%J Advances in Applied Mathematics
%P 4024-4028
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.129394
%X 本文基于两个积分变换的定义及其性质，给出无穷区间反常积分的积分变换计算方法，包括Fourier变换计算方法和Laplace变换计算方法。通过经典例题的求解表明相对于常规计算方法，积分变换法可大大简化计算反常积分。<br />
Based on the definition and properties of two integral transformations, this paper gives the integral transformations method for the calculation of improper integral in infinite interval, including Fou-rier transformation and Laplace transformation. The classical examples show that the calculation of improper integrals by integral transformation can greatly simplify the calculation, compared with the typical method.
%K 反常积分，积分变换，留数<br>Improper Integral
%K Integral Transformation
%K Residue
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=72363