{ "id": "1501.03564", "version": "v1", "published": "2015-01-15T03:32:47.000Z", "updated": "2015-01-15T03:32:47.000Z", "title": "Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions", "authors": [ "Alyson Deines", "Jenny G. Fuselier", "Ling Long", "Holly Swisher", "Fang-Ting Tu" ], "categories": [ "math.NT" ], "abstract": "In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hypergeometric' algebraic varieties that are higher dimensional analogues of Legendre curves.", "revisions": [ { "version": "v1", "updated": "2015-01-15T03:32:47.000Z" } ], "analyses": { "subjects": [ "33C20", "11T24", "11G25", "14J30" ], "keywords": [ "gaussian hypergeometric functions", "truncated hypergeometric series", "higher dimensional analogues", "algebraic varieties", "legendre curves" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150103564D" } } }