Some Double Sums Involving Ratios ofBinomial Coefficients ArisingFrom Urn Models

David Stenlund, James Gu Feng Wan

    Forskningsoutput: TidskriftsbidragArtikelVetenskapligPeer review

    Sammanfattning

    In this paper we discuss a class of double sums involving ratios of binomial coefficients. The sums are of the form

    where f1f2 are functions of n. Such sums appear in the analyses of the Mabinogion urn and the Ehrenfest urn in probability. Using hypergeometric functions, we are able to simplify these sums, and in some cases express them in terms of the harmonic numbers.

    OriginalspråkEngelska
    Sidor (från-till)
    TidskriftJournal of Integer Sequences
    Volym22
    StatusPublicerad - 2019
    MoE-publikationstypA1 Tidskriftsartikel-refererad

    Nyckelord

    • Urn models
    • Binomial identities
    • Hypergeometric functions

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