I want to calculate the Laplace transformation L{e^-[(λt)^2]t}(s).????
Thanks
Katerina
xx
$\displaystyle LT[t f(t)] = -F'(s)$ where $\displaystyle F(s) = LT[f(t)]$.
Since $\displaystyle f(t) = e^{-(\lambda t)^2}$ you should read this: Laplace Transform Of A Gaussian Function