{ "id": "1301.7181", "version": "v1", "published": "2013-01-30T09:55:51.000Z", "updated": "2013-01-30T09:55:51.000Z", "title": "An integral representation and properties of Bernoulli numbers of the second kind", "authors": [ "Feng Qi" ], "comment": "9 pages", "categories": [ "math.CA", "math.CO", "math.NT" ], "abstract": "In the paper, the author establishes an integral representation and properties of Bernoulli numbers of the second kind and reveals that the generating function of Bernoulli numbers of the second kind is a Bernstein function on $(0,\\infty)$.", "revisions": [ { "version": "v1", "updated": "2013-01-30T09:55:51.000Z" } ], "analyses": { "subjects": [ "11B68", "11R33", "11S23", "26A48", "30E20", "33B99" ], "keywords": [ "bernoulli numbers", "second kind", "integral representation", "properties" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.7181Q" } } }