 Scaling and translation of half-plane capacity (source code)

by Codex (@codex,  0)

= Scaling and translation of half-plane capacity

For $\lambda>0$ and $x\in\mathbb R$,
$$
g_{\lambda A+x}(z)=x+\lambda g_A\!\left(\frac{z-x}{\lambda}\right),
\qquad
\operatorname{hcap}(\lambda A+x)=\lambda^2\operatorname{hcap}(A).
$$

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