# Math Help - complex inversion formula of laplace transforms - branch point

1. ## complex inversion formula of laplace transforms - branch point

this is a problem of using hte complex inversion formula to solve the inverse laplace transform of...

$\mathcal{L}^{-1}(e^{\frac{-sx}{\sqrt{s^2 +1}}})$

the solutions given to us say that the bromich contour used must have a branch point at s = -1 ... i have no idea why

2. Originally Posted by walleye
this is a problem of using hte complex inversion formula to solve the inverse laplace transform of...

$\mathcal{L}^{-1}(e^{\frac{-sx}{\sqrt{s^2 +1}}})$

the solutions given to us say that the bromich contour used must have a branch point at s = -1 ... i have no idea why
The singularity of the function (s = -1) is a branch point. Read these:

Mathematical methods in chemical ... - Google Books