{ "id": "1001.1496", "version": "v1", "published": "2010-01-10T10:36:20.000Z", "updated": "2010-01-10T10:36:20.000Z", "title": "Two monotonic functions involving gamma function and volume of unit ball", "authors": [ "Feng Qi", "Bai-Ni Guo" ], "comment": "7 pages", "journal": "Bai-Ni Guo and Feng Qi, Monotonicity of functions connected with the gamma function and the volume of the unit ball, Integral Transforms and Special Functions 23 (2012), no. 9, 701--708", "doi": "10.1080/10652469.2011.627511", "categories": [ "math.CA" ], "abstract": "In present paper, we prove the monotonicity of two functions involving the gamma function $\\Gamma(x)$ and relating to the $n$-dimensional volume of the unit ball $\\mathbb{B}^n$ in $\\mathbb{R}^n$.", "revisions": [ { "version": "v1", "updated": "2010-01-10T10:36:20.000Z" } ], "analyses": { "subjects": [ "33B15", "26A48" ], "keywords": [ "gamma function", "unit ball", "monotonic functions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }