{ "id": "math/0701241", "version": "v1", "published": "2007-01-09T05:51:25.000Z", "updated": "2007-01-09T05:51:25.000Z", "title": "The Painlevé transcendents with solvable monodromy", "authors": [ "Kazuo Kaneko" ], "comment": "50 pages, 3 figures", "categories": [ "math.CA" ], "abstract": "We will study special solutions of the fourth, fifth and sixth Painlev\\'e equations with generic values of parameters whose linear monodromy can be calculated explicitly. We will show the relation between Umemura's classical solutions and our solutions.", "revisions": [ { "version": "v1", "updated": "2007-01-09T05:51:25.000Z" } ], "analyses": { "subjects": [ "34M55", "33C15" ], "keywords": [ "solvable monodromy", "transcendents", "sixth painleve equations", "study special solutions", "generic values" ], "note": { "typesetting": "TeX", "pages": 50, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......1241K" } } }