Recurrences for generating polynomials



In this talk we consider sequences of polynomials that satisfy differential–difference recurrences. Our interest is motivated by the fact that polynomials satisfying such recurrences frequently appear as generating polynomials of integer valued random variables that are of interest in discrete mathematics. It is, therefore, of interest to understand the properties of such polynomials and their probabilistic consequences. We will be primarily interested in the limiting distribution of the corresponding random variables. As an illustration we give a few examples, leading to a Poisson, normal, and Rayleigh distributions. This is a joint work with Amanda Lohss.


This is a joint work with Amanda Lohss.

Date: Apr 07, 2017 at 16:00 h
Venue: Beauchef 851, Torre Norte, 7mo Piso. Sala de Seminarios John Von Neumann
Speaker: Pawel Hitczenko
Affiliation: Department of Mathematics, Drexel University
Coordinator: Prof. Iván Rapaport

Posted on Mar 21, 2017 in Discrete Mathematics, Seminars