• May 11th 2008, 03:39 AM
Everybody knows that

Laplace inversion of exp(-s^.5) would be
1/2(pi*t^3)*exp(-1/4*t)

My question is simple. do we have an analytical laplace inversion for this
exp(+s^.5)?? please consider it is not bounded in laplace domain. if there is conditional, I wonder what the conditions would be.
• May 11th 2008, 06:36 AM
mr fantastic
Quote:

Mr F adds: Not everybody, since it's actually ${\color{red} \frac{1}{2\sqrt{\pi t^3}} e^{-1/(4t)}}$.