{ "id": "1312.4402", "version": "v1", "published": "2013-12-16T15:36:05.000Z", "updated": "2013-12-16T15:36:05.000Z", "title": "A survey on recent extensions of the Stirling formula", "authors": [ "Sorinel Dumitrescu", "Cristinel Mortici" ], "comment": "7 pages", "categories": [ "math.CA" ], "abstract": "We present a survey on recent results about Stirling's formula. More exactly, we reffer to a method using a form of Cesaro-Stolz lemma firstly introduced in [C. Mortici Product approximations via asymptotic integration Amer. Math. Monthly 117 (5) (2010) 434-441]. As an example we improve a result obtained in [C. Mortici A substantial improvement of the Stirling formula Appl. Math. Lett. 24 (2011) no. 8 1351-1354]. Finally, some numerical computations are made.", "revisions": [ { "version": "v1", "updated": "2013-12-16T15:36:05.000Z" } ], "analyses": { "subjects": [ "26D15", "11Y25", "41A25", "34E05" ], "keywords": [ "extensions", "mortici product approximations", "asymptotic integration amer", "stirlings formula", "substantial improvement" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.4402D" } } }