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Jensen's Formula


\begin{displaymath}
\int_0^{2\pi} \ln\vert z+e^{i\theta}\vert\,d\theta=2\pi\ln^+\vert z\vert,
\end{displaymath}

where

\begin{displaymath}
\ln^+\equiv \max(0, \ln x)
\end{displaymath}

and $\ln x$ is the Natural Logarithm.




© 1996-9 Eric W. Weisstein
1999-05-25