**
On the 15th of March 2018, at 10:15 a.m.**

Karol A. Penson (LPTMC, Sorbonne Universités, Université Paris VI)

will give a talk on

"Aerated Poisson distributions and their exact approximants"

__Abstract__

We analyze the properties of combinatorial numbers appearing in the normal ordering of powers of certain differential operators. They are natural generalizations of the conventional Bell numbers. We explicitly construct the solutions of the Stieltjes moment problems with these combinatorial sequences. It turns out that in certain cases one encounters as solutions the discrete probability distributions based on lacunary subsets of positive integers. They generalize the standard Poisson laws and are called aerated Poisson distributions. We furnish explicit approximants of the aerated Poisson distributions through continuous functions via reparametrization of auxiliary solutions for other generalized Bell numbers.

The seminar takes place on Thursdays from 10:15 a.m. to 12:00
in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5,
Warszawa.

Additional information can be found on the webpage
*http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html*.