{ "id": "1609.08575", "version": "v1", "published": "2016-09-27T18:49:12.000Z", "updated": "2016-09-27T18:49:12.000Z", "title": "Painlevé IV and a third-order viewpoint", "authors": [ "P. L. Robinson" ], "categories": [ "math.CA" ], "abstract": "We take a third-order approach to the fourth Painlev\\'e equation and indicate the value of such an approach to other second-order ODEs in the Painlev\\'e-Gambier list of 50.", "revisions": [ { "version": "v1", "updated": "2016-09-27T18:49:12.000Z" } ], "analyses": { "subjects": [ "34M55", "34A05" ], "keywords": [ "third-order viewpoint", "fourth painleve equation", "painleve-gambier list", "second-order odes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }