{ "id": "1607.02098", "version": "v1", "published": "2016-07-07T17:33:10.000Z", "updated": "2016-07-07T17:33:10.000Z", "title": "Univalence and quasiconformal extension of an integral operator", "authors": [ "S. Kanas", "E. Deniz", "H. Orhan" ], "categories": [ "math.CV" ], "abstract": "In this paper we give some sufficient conditions of analyticity and univalence for functions defined by an integral operator. Next, we refine the result to a quasiconformal extension criterion with the help of the Becker's method. Further, new univalence criteria and the significant relationships with other results are given. A number of known univalence conditions would follow upon specializing the parameters involved in our main results.", "revisions": [ { "version": "v1", "updated": "2016-07-07T17:33:10.000Z" } ], "analyses": { "keywords": [ "integral operator", "quasiconformal extension criterion", "beckers method", "sufficient conditions", "univalence conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }