Mapping-out function of a compact H-hull
= Mapping-out function of a compact H-hull
{title2=$g_A$}
The mapping-out function is the unique <conformal map> $g_A:\mathbb H\setminus A\to\mathbb H$ with <hydrodynamic normalization at infinity>
$$
g_A(z)=z+\frac{a}{z}+O(|z|^{-2}).
$$