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Math Help - Please help mee with this laplace inversion

  1. #1
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    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.
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  2. #2
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    Quote Originally Posted by farshad View Post
    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 {\color{red} \frac{1}{2\sqrt{\pi t^3}} e^{-1/(4t)}}.

    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.
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