On the nonuniversality of the Error function in the smoothing of Stokes discontinuities

S. J. Chapman

The nonuniversality of the error function in the smoothing of Stokes lines is demonstrated by means of an example with smoothing function $\int_{-\infty}^{\phi} e^{-u^{2m} + g(u)}\, du$, where $m$ is any integer greater than 2 and $g$ is any polynomial of degree less than or equal to $2m-1$.