# Table of Laplace transforms

1. Jun 25, 2004

### stefanfuglsang

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)?

2. Jun 25, 2004

### chroot

Staff Emeritus
3. Jun 26, 2004

### fourier jr

why not make your own table? good integration practice hehe :tongue2:

4. Jun 30, 2004

### stefanfuglsang

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

5. Jul 22, 2004

### Tom Mattson

Staff Emeritus

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

6. Jul 23, 2004

### eJavier

Schaum's intro to Laplace transforms has like 300 laplace transforms listed on a big table.

7. Jul 23, 2004

### eJavier

If it helps, the LT of the error function $$\frac{2}{\pi^{\frac{1}{2}} }\int_0^t e^{-u^2} du$$ is $$\frac {1}{s(s+1)^{1/2}}$$

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