Probabilistic approach to Appell polynomials

Bao Ta Quoc

doi:10.1016/j.exmath.2014.07.003

Probabilistic approach to Appell polynomials

Bao Ta Quoc

Research output: Contribution to journal › Article › Scientific › peer-review

24 Citations (Scopus)

Abstract

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.

Original language	Undefined/Unknown
Pages (from-to)	–
Journal	Expositiones Mathematicae
DOIs	https://doi.org/10.1016/j.exmath.2014.07.003
Publication status	Published - 2014
MoE publication type	A1 Journal article-refereed

Access to Document

10.1016/j.exmath.2014.07.003

http://www.sciencedirect.com/science/article/pii/S0723086914000401

Cite this

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