Probabilistic approach to Appell polynomials

A1 Journal article (refereed)

Internal Authors/Editors

Publication Details

List of Authors: Bao Quoc Ta
Publisher: Elsevier
Publication year: 2014
Journal: Expositiones Mathematicae
eISSN: 0723-0869


In this paper we study Appell polynomials by connecting them to random variables. This probabilistic approach yields, e.g., the mean value property which is fundamental in the sense that many other properties can be derived from it. We also discuss moment representations of Appell polynomials. In the latter part of the paper the presented general theory is applied to study some classical explicitly given polynomials.

Last updated on 2019-16-10 at 03:23