does anybody know how to find laplace transform of a gaussian function?

I did the following in Matlab and got bounced back with no meaningful 
results...

What's wrong?

>> syms t s real
>> laplace(1/sqrt(2*pi)/s*exp(-t^2/2/pi/s^2))

ans =

7186705221432913/18014398509481984/s*laplace(exp(-1/2*t^2/pi/s^2),t,s) 

gino wrote:
> I did the following in Matlab and got bounced back with no meaningful 
> results...
> 
> What's wrong?
> 
> 
>>>syms t s real
>>>laplace(1/sqrt(2*pi)/s*exp(-t^2/2/pi/s^2))
> 
> 
> ans =
> 
> 7186705221432913/18014398509481984/s*laplace(exp(-1/2*t^2/pi/s^2),t,s) 
> 
> 

In Google, the search terms

     laplace transform gaussian

give a first hit of a paper:

http://web.mit.edu/18.03-esg/www/cws05/notes/4laperf.pdf

Nice to read...

    Jeroen