无穷区间反常积分的积分变换计算方法  

The Method of Integral Transformation Calculation of Improper Integral in Infinite Interval

作　　者：程慧 郭丰家 韩萍 何桂添 

机构地区：[1]广西民族大学数学与物理学院,广西 南宁

出　　处：《应用数学进展》2023年第9期4024-4028,共5页Advances in Applied Mathematics

摘　　要：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。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.

关 键 词：反常积分 积分变换 留数 

分 类 号：O17[理学—数学]