Probabilistic approach to Appell polynomials

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Publikationens författare: Bao Quoc Ta
Förläggare: Elsevier
Publiceringsår: 2014
Tidskrift: 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.

Senast uppdaterad 2019-18-11 vid 02:49