most recent 30 from http://mathoverflow.net 2013-05-19T20:36:49Z http://mathoverflow.net/feeds/question/85275 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85275/is-the-kummer-function-monotonic-decreasing-in-first-argument Alex Gittens 2012-01-09T18:45:23Z 2012-01-09T18:45:23Z

<p>Let $b >0$ and $x&lt;0.$ If $a_1 &lt; a_2 &lt; 0$ are integers then ${}_1F_1(a_2;b;x) &lt; {}_1F_1(a_1;b;x).$ Is it true that in fact ${}_1F_1(a;b;x)$ is monotonic decreasing as a function of $a$?</p>