{ "id": "1403.0278", "version": "v1", "published": "2014-03-02T23:08:28.000Z", "updated": "2014-03-02T23:08:28.000Z", "title": "Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function", "authors": [ "Feng Qi" ], "comment": "15 pages", "journal": "Journal of Computational and Applied Mathematics 268 (2014), 155--167", "doi": "10.1016/j.cam.2014.03.004", "categories": [ "math.CA" ], "abstract": "In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend and generalize some known conclusions.", "revisions": [ { "version": "v1", "updated": "2014-03-02T23:08:28.000Z" } ], "analyses": { "subjects": [ "33B15", "26A48", "26A51", "33B10", "41A30", "41A60", "44A10" ], "keywords": [ "complete monotonicity", "burnsides formula", "gamma function", "authors establish integral representations", "results extend" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1403.0278Q" } } }