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Table of Laplace transforms

  1. Jun 25, 2004 #1
    I need a large table of Laplace transforms, do you know any good ones? Format HTML, Pdf, Ps, Latex or Word (?)

    Extra question: what is the Laplace transform of a Gaussian (normal distribution), with mean m and standard deviation s (assume equal to zero for t<0)?
     
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  3. Jun 25, 2004 #2

    chroot

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  4. Jun 26, 2004 #3
    why not make your own table? good integration practice hehe :wink: :tongue2:
     
  5. Jun 30, 2004 #4
    I also know how to use Google - but you do not answer my question,
    maybe I should define "Large" as more than, say, 150 transforms.

    I do not need to practice integration
     
  6. Jul 22, 2004 #5

    Tom Mattson

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    :rolleyes:

    I typed "large table laplace transforms" into Google. Check out this link. It has 129 Laplace transform formulas.

    http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP?Res=200&Page=1019

    It was the second link that came up. The first was this thread. :rofl:
     
  7. Jul 23, 2004 #6
    Schaum's intro to Laplace transforms has like 300 laplace transforms listed on a big table.
     
  8. Jul 23, 2004 #7
    If it helps, the LT of the error function [tex] \frac{2}{\pi^{\frac{1}{2}} }\int_0^t e^{-u^2} du [/tex] is [tex]\frac {1}{s(s+1)^{1/2}}[/tex]

    And since you can always work with the N(0,1) distribution instead of the more general N(m, sigma^2) I think you'll find the aforementioned result useful. If you need the derivation of the Lt just ask.
     
    Last edited: Jul 23, 2004
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