Laplace and fourier symbolic transform relationship

Hello, I wrote a code that transforms a function f(t) to F(s) and F(w):

syms f(t) F1(s) F2(w)

f(t)=1;%1 is only example

F1(s)=laplace(f);

F2(w)=(1/(2*pi))*fourier(f);

Now, I have to write a code that checks that the relationship between the 2 transforms exists but I can't find a way to do that. I think that s=j*w but it doesn't help me to see the relationship. Need help, thanks