{ "id": "1408.6423", "version": "v1", "published": "2014-08-27T14:31:42.000Z", "updated": "2014-08-27T14:31:42.000Z", "title": "Close-to-convexity of normalized Dini functions", "authors": [ "Árpad Baricz", "Erhan Deniz", "Nihat Yagmur" ], "comment": "5 pages", "categories": [ "math.CA" ], "abstract": "In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag-Leffler expansions for Bessel functions of the first kind.", "revisions": [ { "version": "v1", "updated": "2014-08-27T14:31:42.000Z" } ], "analyses": { "subjects": [ "33C10", "30C45" ], "keywords": [ "normalized dini functions", "close-to-convexity", "bessel functions", "first kind", "transcendental entire functions" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }