{ "id": "1601.00728", "version": "v1", "published": "2016-01-05T03:29:03.000Z", "updated": "2016-01-05T03:29:03.000Z", "title": "A note on the connection problem of some special Painlevé V functions", "authors": [ "Wen-Gao Long", "Zhao-Yun Zeng", "Jian-Rong Zhou" ], "categories": [ "math.CA" ], "abstract": "As a new application of the method of \"uniform asymptotics\" proposed by Bassom, Clarkson, Law and McLeod, we provide a simpler and more rigorous proof of the connection formulas of some special solutions of the fifth Painlev\\'e equation, which have been established earlier by Andreev and Kitaev.", "revisions": [ { "version": "v1", "updated": "2016-01-05T03:29:03.000Z" } ], "analyses": { "subjects": [ "33A40", "33E17", "34A20", "34E05" ], "keywords": [ "connection problem", "fifth painleve equation", "uniform asymptotics", "connection formulas", "special solutions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160100728L" } } }