Monthly Archives: March 2015

Inverse Laplace Transform with a coinciding pole and branch point

Recently, the following Laplace transform was asked to be inverted: $$F(s) = s^{-a-1} e^{-s^a} $$ where $a \in (0,1)$. This is a tough problem for two reasons. One is that there is very little chance of there being an analytical result for arbitrary values of $a$. The other, however, is more subtle: there is a […]