Equation 18.46.47E8D4542A29B

\begin{equation} \int _{\mathbb P^1}|z^\alpha e^ m|_{h^ m}^2\, \sigma _0 =\int _0^1x^\alpha (1-x)^{m-\alpha }\, \mathrm dx =\frac{\alpha !(m-\alpha )!}{(m+1)!}. \end{equation}