{ "id": "1601.05637", "version": "v1", "published": "2016-01-21T13:58:13.000Z", "updated": "2016-01-21T13:58:13.000Z", "title": "Total positivity of Riordan arrays", "authors": [ "Xi Chen", "Huyile Liang", "Yi Wang" ], "journal": "European Journal of Combinatorics, 46 (2015), 68--74", "doi": "10.1016/j.ejc.2014.11.009", "categories": [ "math.CO" ], "abstract": "We present sufficient conditions for total positivity of Riordan arrays. As applications we show that many well-known combinatorial triangles are totally positive and many famous combinatorial numbers are log-convex in a unified approach.", "revisions": [ { "version": "v1", "updated": "2016-01-21T13:58:13.000Z" } ], "analyses": { "subjects": [ "05A20", "15B36", "15A45" ], "keywords": [ "riordan arrays", "total positivity", "well-known combinatorial triangles", "sufficient conditions", "famous combinatorial numbers" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }