{ "id": "1801.05176", "version": "v1", "published": "2018-01-16T09:35:20.000Z", "updated": "2018-01-16T09:35:20.000Z", "title": "The hypergeometric function for the root system of type $A$ with a certain degenerate parameter", "authors": [ "Shimeno Nobukazu", "Tamaoka Yuichi" ], "comment": "14 pages", "categories": [ "math.RT", "math.CA" ], "abstract": "We express explicitly the Heckman-Opdam hypergeometric function for the root system of type A with a certain degenerate parameter in terms of the Lauricella hypergeometric function.", "revisions": [ { "version": "v1", "updated": "2018-01-16T09:35:20.000Z" } ], "analyses": { "keywords": [ "root system", "degenerate parameter", "heckman-opdam hypergeometric function", "lauricella hypergeometric function" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }