A formula to solve Laplace and Fourier Transforms

被引：2

作者：

Morales-Castillo, Javier ^{[1
]}

Morales-Rodriguez, Eva M. ^{[1
]}

机构：

[1] Univ Autonoma Nuevo Leon, Ave Univ S-N, San Nicolas De Los Garza 66450, Nuevo Leon, Mexico

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 431卷

关键词：

Inverse symbolic operators; Fourier Transform; Laplace Transform; ODEs;

D O I：

10.1016/j.cam.2023.115235

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Among many contributions to science, Pierre-Simon Laplace developed his famous Transform as Jean-Baptiste Joseph Fourier with his very famous Fourier Transform. In this article a method is presented to easily solve the Fourier and Laplace Transform and their inverses. This General Formula is applicable to integrals that contain an exponential function multiplied by a derivable Function. Functions such as the Normal, Gamma and Beta could be solved too with some mathematical artifices. The methodology is presented step by step in this article.(c) 2023 Published by Elsevier B.V.

引用

页数：6

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