{ "id": "math/9908144", "version": "v1", "published": "1999-08-27T19:58:04.000Z", "updated": "1999-08-27T19:58:04.000Z", "title": "On a difference equation for generalizations of Charlier polynomials", "authors": [ "Herman Bavinck", "Roelof Koekoek" ], "comment": "11 pages", "journal": "J. Approx. Theory 81 (1995) 195-206", "categories": [ "math.CA" ], "abstract": "In this paper we obtain a set of polynomials which are orthogonal with respect to the classical discrete weight function of the Charlier polynomials at which an extra point mass at x=0 is added. We construct a difference operator of infinite order for which these new discrete orthogonal polynomials are eigenfunctions.", "revisions": [ { "version": "v1", "updated": "1999-08-27T19:58:04.000Z" } ], "analyses": { "subjects": [ "33C45", "39A10" ], "keywords": [ "charlier polynomials", "difference equation", "generalizations", "discrete orthogonal polynomials", "classical discrete weight function" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......8144B" } } }