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Article #127An inequality fo INCOMPLETE GAMMA functions
From: schoen
Date: Thu, 12 Nov 1992 10:36
Date: Thu, 12 Nov 1992 10:36
11 lines
1217 bytes
1217 bytes
Let $\gamma(a,x) = \int_0^x exp(-t) t^{a-1} dt$ be the incomplete gamma
function. Is it true that
$\gamma(a,x) <= \gamma(a+0.5,x)$ ?
(or, at least, for which range of x and a values does the inequality
hold?)
Thank you.
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Path: arc1-ca.pugleaf.net!sparky!uunet!news.tek.com!ogicse!uwm.edu!ux1.cso.uiuc.edu!news.cso.uiuc.edu!dan From: schoen@ghost.dsi.unimi.it Newsgroups: sci.math.research Subject: An inequality fo INCOMPLETE GAMMA functions Message-ID: <1992Nov12.103625.27794@ghost.dsi.unimi.it> Date: 12 Nov 92 10:36:25 GMT Article-I.D.: ghost.1992Nov12.103625.27794 Sender: Daniel Grayson <dan@math.uiuc.edu> Organization: Computer Science Dep. - Milan University Lines: 11 Approved: Daniel Grayson <dan@math.uiuc.edu> Originator: dan@symcom.math.uiuc.edu X-Submissions-To: sci-math-research@uiuc.edu X-Administrivia-To: sci-math-research-request@uiuc.edu X-Char-Esc: 29 X-Charset: ASCII