Laplace Transform of Error Function

Theorem

 * $\laptrans {\map \erf t} = \dfrac 1 s \, \map \exp {\dfrac {s^2} 4} \, \map \erfc {\dfrac s 2}$

where:
 * $\laptrans f$ denotes the Laplace transform of the function $f$
 * $\erf$ denotes the error function
 * $\erfc$ denotes the complementary error function
 * $\exp$ denotes the exponential function.