Mapping-out function of a vertical slit
= Mapping-out function of a vertical slit
{title2=$g(z)=x+\sqrt{(z-x)^2+h^2}$}
For the <compact H-hull> $(x,x+ih]$, the square-root branch asymptotic to $z-x$ gives the <hydrodynamic normalization at infinity> of its <mapping-out function of a compact H-hull>. Its expansion has coefficient $h^2/2$, the <half-plane capacity of a vertical slit>.