{ "id": "1106.1768", "version": "v2", "published": "2011-06-09T10:27:17.000Z", "updated": "2012-03-28T08:27:31.000Z", "title": "Bernoulli inequality and hypergeometric functions", "authors": [ "Riku Klén", "Vesna Manojlović", "Slavko Simić", "Matti Vuorinen" ], "comment": "15 pages", "categories": [ "math.CA", "math.CV" ], "abstract": "Bernoulli type inequalities for functions of logarithmic type are given. These functions include, in particular, Gaussian hypergeometric functions in the zero-balanced case $F(a,b;a+b;x)\\,.$", "revisions": [ { "version": "v2", "updated": "2012-03-28T08:27:31.000Z" } ], "analyses": { "subjects": [ "26D06", "33C05" ], "keywords": [ "bernoulli inequality", "bernoulli type inequalities", "gaussian hypergeometric functions", "logarithmic type" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.1768K" } } }