{ "id": "1608.07265", "version": "v1", "published": "2016-08-25T19:36:51.000Z", "updated": "2016-08-25T19:36:51.000Z", "title": "Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations", "authors": [ "Kouichi Takemura" ], "comment": "27 pages", "categories": [ "math-ph", "math.CA", "math.MP", "math.QA" ], "abstract": "It is known that the Painleve VI is obtained by connection preserving deformation of some linear differential equations, and the Heun equation is obtained by a specialization of the linear differential equations. We inverstigate degenerations of the Ruijsenaars-van Diejen difference opearators and show difference analogues of the Painleve-Heun correspondence.", "revisions": [ { "version": "v1", "updated": "2016-08-25T19:36:51.000Z" } ], "analyses": { "subjects": [ "39A13", "33E17", "33E10" ], "keywords": [ "ruijsenaars-van diejen operator", "q-painleve equations", "linear differential equations", "degenerations", "ruijsenaars-van diejen difference opearators" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable" } } }