TITLE: How to get the inverse Laplace Transform?
QUESTION [2 upvotes]: I want to get the ILT of $e^{-\alpha \sqrt{s}}/(\sqrt{s}(s-\beta))$? where $s>0, \alpha>0, \beta>0$.
I used the contour integration, and unfortunately It didn't work out.

REPLY [1 votes]: I have examined the results above and they are correct.
{"set_name": "stack_exchange", "score": 2, "question_id": 3770667}