{ "id": "1208.2569", "version": "v1", "published": "2012-08-13T12:47:34.000Z", "updated": "2012-08-13T12:47:34.000Z", "title": "Some generalizations on the univalence of an integral operator and quasiconformal extensions", "authors": [ "Murat Çağlar", "Halit Orhan" ], "comment": "12 pages, submitted to a journal for publication (19 April 2012)", "categories": [ "math.CV" ], "abstract": "By using the method of Loewner chains, we establish some sufficient conditions for the analyticity and univalency of functions defined by an integral operator. Also, we refine the result to a quasiconformal extension criterion with the help of Beckers's method.", "revisions": [ { "version": "v1", "updated": "2012-08-13T12:47:34.000Z" } ], "analyses": { "subjects": [ "30C45" ], "keywords": [ "integral operator", "generalizations", "univalence", "quasiconformal extension criterion", "beckerss method" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.2569C" } } }