{ "id": "1612.02257", "version": "v1", "published": "2016-12-07T14:12:46.000Z", "updated": "2016-12-07T14:12:46.000Z", "title": "On the Laplace transform of absolutely monotonic functions", "authors": [ "Stamatis Koumandos", "Henrik L. Pedersen" ], "comment": "15 pages", "categories": [ "math.CA" ], "abstract": "We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function. Several closely related results are also given.", "revisions": [ { "version": "v1", "updated": "2016-12-07T14:12:46.000Z" } ], "analyses": { "subjects": [ "44A10", "41A80", "26A48" ], "keywords": [ "absolutely monotonic function", "laplace transform", "sufficient conditions", "closely related results" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }