{ "id": "1811.01196", "version": "v1", "published": "2018-11-03T11:56:41.000Z", "updated": "2018-11-03T11:56:41.000Z", "title": "On central complete Bell polynomials", "authors": [ "Taekyun Kim", "Dae San Kim", "Gwan-Woo Jang" ], "comment": "11 pages", "categories": [ "math.NT" ], "abstract": "In this paper, we consider central complete and incomplete Bell polynomials which are generalizations of the recently introduced central Bell polynomials and central analogues for the complete and incomplete Bell polynomials. We investigate some properties and identities for these polynomials. Especially, we give explicit formulas for the central complete and incomplete Bell polynomials related to central factorial numbers of the second kind.", "revisions": [ { "version": "v1", "updated": "2018-11-03T11:56:41.000Z" } ], "analyses": { "subjects": [ "11B73", "11B83", "11B99" ], "keywords": [ "central complete bell polynomials", "incomplete bell polynomials", "central bell polynomials", "central factorial numbers", "central analogues" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }