Landau distribution#

A special case of Lévy-stable distributions with $\alpha=1$ and $\beta=1$ and support $-\infty < x < \infty$ . The probability density function is given by

$f(x) = \frac{1}{\pi}\int_0^\infty \exp(-t \log t - xt)\sin(\pi t) dt$

The differential entropy is 2.37263644000448182, and the moments are undefined.