{ "id": "1801.02312", "version": "v1", "published": "2018-01-08T05:45:59.000Z", "updated": "2018-01-08T05:45:59.000Z", "title": "Newton diagram of positivity for ${}_1F_2$ generalized hypergeometric functions", "authors": [ "Yong-Kum Cho", "Hera Yun" ], "comment": "19 pages, 3 figures", "categories": [ "math.CA" ], "abstract": "As for the positivity of ${}_1F_2$ generalized hypergeometric functions, we present a list of necessary and sufficient conditions in terms of parameters and determine the region of positivity by certain Newton diagram.", "revisions": [ { "version": "v1", "updated": "2018-01-08T05:45:59.000Z" } ], "analyses": { "subjects": [ "33C20", "46E22", "62D05" ], "keywords": [ "generalized hypergeometric functions", "newton diagram", "positivity", "sufficient conditions" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }