{ "id": "1902.11220", "version": "v1", "published": "2019-02-28T17:04:30.000Z", "updated": "2019-02-28T17:04:30.000Z", "title": "Hypergeometric identities arising from the elephant random walk", "authors": [ "Bernard Bercu", "Marie-Line Chabanol", "Jean-Jacques Ruch" ], "categories": [ "math.PR", "math.CA", "math.CO" ], "abstract": "A probabilistic approach is provided to establish new hypergeometric identities. It is based on the calculation of moments of the limiting distribution of the position of the elephant random walk in the superdiffusive regime.", "revisions": [ { "version": "v1", "updated": "2019-02-28T17:04:30.000Z" } ], "analyses": { "keywords": [ "elephant random walk", "hypergeometric identities arising", "probabilistic approach", "calculation", "limiting distribution" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }