home *** CD-ROM | disk | FTP | other *** search
/ NetNews Usenet Archive 1992 #26 / NN_1992_26.iso / spool / sci / math / research / 557 < prev    next >
Encoding:
Internet Message Format  |  1992-11-12  |  1.2 KB
  1. Path: sparky!uunet!news.tek.com!ogicse!uwm.edu!ux1.cso.uiuc.edu!news.cso.uiuc.edu!dan
  2. From: schoen@ghost.dsi.unimi.it
  3. Newsgroups: sci.math.research
  4. Subject: An inequality fo INCOMPLETE GAMMA functions
  5. Message-ID: <1992Nov12.103625.27794@ghost.dsi.unimi.it>
  6. Date: 12 Nov 92 10:36:25 GMT
  7. Article-I.D.: ghost.1992Nov12.103625.27794
  8. Sender: Daniel Grayson <dan@math.uiuc.edu>
  9. Organization: Computer Science Dep. - Milan University
  10. Lines: 11
  11. Approved: Daniel Grayson <dan@math.uiuc.edu>
  12. Originator: dan@symcom.math.uiuc.edu
  13. X-Submissions-To: sci-math-research@uiuc.edu
  14. X-Administrivia-To: sci-math-research-request@uiuc.edu
  15. X-Char-Esc: 29
  16. X-Charset: ASCII
  17.  
  18. Let $\gamma(a,x) = \int_0^x exp(-t) t^{a-1} dt$ be the incomplete gamma
  19. function. Is it true that
  20.     $\gamma(a,x) <= \gamma(a+0.5,x)$ ?
  21. (or, at least, for which range of x and a values does the inequality
  22. hold?)
  23. Thank you.
  24. -- 
  25. +---------------------------------------------------------------------------+
  26. | Fabio Schoen                                  e-mail:                     |
  27. | Dipartimento di Scienze della Informazione    schoen@ghost.dsi.unimi.it   |
  28. | via Comelico 39/41 - room    S235             schoen@imiucca.csi.unimi.it |
  29.