{ "id": "1402.0639", "version": "v1", "published": "2014-02-04T07:03:58.000Z", "updated": "2014-02-04T07:03:58.000Z", "title": "Monotonicity properties of some Dini functions", "authors": [ "Árpád Baricz", "Tibor K. Pogány", "Róbert Szász" ], "comment": "4 pages, 1 figure", "categories": [ "math.CA" ], "abstract": "In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expansion for the derivative of a normalized Bessel function of the first kind. These monotonicity properties are used to obtain some new inequalities for Bessel functions of the first kind.", "revisions": [ { "version": "v1", "updated": "2014-02-04T07:03:58.000Z" } ], "analyses": { "subjects": [ "33C10" ], "keywords": [ "monotonicity properties", "dini functions", "first kind", "developed mittag-leffler expansion", "special combination" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.0639B" } } }