{ "id": "1307.4245", "version": "v2", "published": "2013-07-16T11:44:39.000Z", "updated": "2013-11-25T14:43:42.000Z", "title": "Barycentric Padé approximation", "authors": [ "Claude Brezinski", "Michela Redivo-Zaglia" ], "comment": "A new version will be sent soon", "categories": [ "math.NA" ], "abstract": "In this paper, we show how any Pad\\'e approximant $[p/q]_f$ of a formal power series $f$ can be written under two different barycentric rational forms. These form depend on $p+q+1$ parameters which can be almost arbitrarily chosen.", "revisions": [ { "version": "v2", "updated": "2013-11-25T14:43:42.000Z" } ], "analyses": { "keywords": [ "approximation", "formal power series", "barycentric rational forms", "pade approximant", "form depend" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1307.4245B" } } }