Apr 20'25

Exercise

[math] \newcommand{\mathds}{\mathbb}[/math]

Work out all the details for the moment formula for the Bessel laws,

[[math]] M_k=|P^s(k)| [[/math]]

where [math]P^s(k)[/math] are the partitions satisfying the formula

[[math]] \#\circ=\#\bullet(s) [[/math]]

as a weighted sum, in each block.