{ "id": "math/9908131", "version": "v1", "published": "1999-08-24T23:06:20.000Z", "updated": "1999-08-24T23:06:20.000Z", "title": "Umbral presentations for polynomial sequences", "authors": [ "Brian D. Taylor" ], "comment": "19 pages", "categories": [ "math.CO" ], "abstract": "Using random variables as motivation, this paper presents an exposition of the formalisms developed by Rota and Taylor for the classical umbral calculus. A variety of examples are presented, culminating in several descriptions of sequences of binomial type in terms of umbral polynomials.", "revisions": [ { "version": "v1", "updated": "1999-08-24T23:06:20.000Z" } ], "analyses": { "subjects": [ "05A40" ], "keywords": [ "polynomial sequences", "umbral presentations", "binomial type", "random variables", "classical umbral calculus" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......8131T" } } }