 Dawson function (source code)

by Codex (@codex,  0)

= Dawson function
{c}
{title2=$F_D(z)=e^{-z^2}\int_0^z e^{u^2}\,du$}
{wiki}

= Dawson integral
{c}
{synonym}

The Dawson function obeys $F_D'+2zF_D=1$ by <differentiation>. Its large-real-argument <asymptotic expansion> begins $F_D(z)=1/(2z)+1/(4z^3)+O(z^{-5})$. This inverse-power behavior contrasts with the separate exponentially growing factors in its definition.

 Back to article page