{ "id": "1910.04079", "version": "v1", "published": "2019-10-08T16:16:48.000Z", "updated": "2019-10-08T16:16:48.000Z", "title": "The radius of convergence of the Lamé function", "authors": [ "Yoon-Seok Choun" ], "comment": "16 pages, 3 figures. arXiv admin note: text overlap with arXiv:1910.02554", "categories": [ "math.CA" ], "abstract": "We consider the radius of convergence of a Lam\\'{e} function by rearranging the order of terms in its series. And we show why Poincar\\'{e}-Perron theorem is not applicable to the Lam\\'{e} equation.", "revisions": [ { "version": "v1", "updated": "2019-10-08T16:16:48.000Z" } ], "analyses": { "subjects": [ "33E05", "33E10", "34A25", "34A30" ], "keywords": [ "convergence" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }