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
收藏
页数：6
相关论文
共 50 条
  • [31] QUADRATIC FOURIER TRANSFORMS
    Castro, L. P.
    Haque, M. R.
    Murshed, M. M.
    Saitoh, S.
    Tuan, N. M.
    ANNALS OF FUNCTIONAL ANALYSIS, 2014, 5 (01): : 10 - 23
  • [32] Nuclear Fourier Transforms
    Dorothee D. Haroske
    Leszek Skrzypczak
    Hans Triebel
    Journal of Fourier Analysis and Applications, 2023, 29
  • [33] A CHARACTERIZATION OF FOURIER TRANSFORMS
    Jaming, Philippe
    COLLOQUIUM MATHEMATICUM, 2010, 118 (02) : 569 - 580
  • [34] WAVELET TRANSFORMS VERSUS FOURIER-TRANSFORMS
    STRANG, G
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 28 (02) : 288 - 305
  • [35] Bell polynomials and generalized Laplace transforms
    Ricci, Paolo Emilio
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2022, 33 (12) : 966 - 977
  • [36] FUZZY FRACTIONAL CONFORMABLE LAPLACE TRANSFORMS
    Sadabadi, Negar Bakhshi
    Maheri, Fariba
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (02): : 359 - 371
  • [37] Laplace transforms and the Riemann zeta function
    Hill, James M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (03) : 193 - 205
  • [38] Weighted inequalities for Hilbert transforms and multiplicators of Fourier transforms
    Kokilashvili, V
    Meskhi, A
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 1997, 1 (03): : 239 - 252
  • [39] An Interesting Difference between Fourier Transform & Laplace Transform
    Singh, Gavendra
    Gupta, Varun
    Pundir, Shekhar
    Sharma, Shobhit
    MEMS, NANO AND SMART SYSTEMS, PTS 1-6, 2012, 403-408 : 114 - +
  • [40] Fourier transforms of radial functions
    Liflyand, ER
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (03) : 279 - 300
12345