Probabilistic approach to Appell polynomials

Bao Ta Quoc

    Research output: Contribution to journalArticleScientificpeer-review

    12 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 languageUndefined/Unknown
    Pages (from-to)
    JournalExpositiones Mathematicae
    DOIs
    Publication statusPublished - 2014
    MoE publication typeA1 Journal article-refereed

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