Remodified bessel functions via coincidences and near coincidences

Martin Griffiths

    Research output: Contribution to journalArticlepeer-review


    By considering a particular probabilistic scenario associated with coincidences, we are led to a family of functions akin to the modified Bessel function of the first kind. These are in turn solutions to a certain family of linear differential equations possessing structural similarities to the modified Bessel differential equation. The Stirling number triangle of the second kind arises quite naturally from these differential equations, as do more complicated, yet related, truncated number triangles, none of which appear in Sloane's On-Line Encyclopedia of Integer Sequences.
    Original languageEnglish
    JournalJournal of Integer Sequences
    Issue number7
    Publication statusPublished - 2011


    • Bessel functions
    • Linear differential equations
    • Poisson distributions
    • Stirling numbers of the second kind


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