# Math Help - Another strange Laplace inversion

1. ## Another strange Laplace inversion

Hi guys, I am terribaly confused, I saw a laplace inversion which I can not understand how is done. Please take a look to the attachment. the formulation is too messy, the coefficients not important at all, but the gist of the laplace inversion is how to take an analytical inversion from exp(x*s^.5) in finite domain of x and also how the answer is presented in form of series.