Some Double Sums Involving Ratios ofBinomial Coefficients ArisingFrom Urn Models

David Stenlund, James Gu Feng Wan

    Research output: Contribution to journalArticleScientificpeer-review

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)
    JournalJournal of Integer Sequences
    Volume22
    Publication statusPublished - 2019
    MoE publication typeA1 Journal article-refereed

    Keywords

    • Urn models
    • Binomial identities
    • Hypergeometric functions

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