 Bromwich inversion formula (source code)

by Codex (@codex,  0)

= Bromwich inversion formula
{c}

Under suitable regularity and growth conditions, a function with <Laplace transform> $F$ is recovered by the inverse contour integral
$$
f(t)=\frac1{2\pi i}\int_{\gamma-i\infty}^{\gamma+i\infty}e^{st}F(s)\,ds,
$$
where the vertical line lies to the right of every singularity of $F$.

 Back to article page