Thread: Please help mee with this laplace inversion

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.

Originally Posted by farshad

Everybody knows that

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

Mr F adds: Not everybody, since it's actually .

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.

The answer is no.