{ "id": "1001.0299", "version": "v1", "published": "2010-01-02T12:20:02.000Z", "updated": "2010-01-02T12:20:02.000Z", "title": "The solutions of four $q$-functional equations", "authors": [ "Jun-Ming Zhu" ], "comment": "5 pages", "categories": [ "math.CO", "math.FA" ], "abstract": "In this note we obtain the solutions of four $q$-functional equations and express the solutions in $q$-operator forms. These equations give sufficient conditions for $q$-operator methods.", "revisions": [ { "version": "v1", "updated": "2010-01-02T12:20:02.000Z" } ], "analyses": { "subjects": [ "05A30", "33D15", "33D05" ], "keywords": [ "functional equations", "operator methods", "sufficient conditions" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }