{ "id": "math/0411550", "version": "v1", "published": "2004-11-24T14:25:51.000Z", "updated": "2004-11-24T14:25:51.000Z", "title": "Integral representation of some functions related to the Gamma function", "authors": [ "Christian Berg" ], "categories": [ "math.CA", "math.CV" ], "abstract": "We prove that the functions Phi(x)=[Gamma(x+1)]^{1/x}(1+1/x)^x/x and log Phi(x) are Stieltjes transforms.", "revisions": [ { "version": "v1", "updated": "2004-11-24T14:25:51.000Z" } ], "analyses": { "subjects": [ "33B15", "26A48" ], "keywords": [ "integral representation", "gamma function" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math.....11550B" } } }