Re[2]: Re: Numerical accuracy of Hypergeometric2F1

*To*: mathgroup at smc.vnet.net*Subject*: [mg55775] Re[2]: [mg55743] Re: Numerical accuracy of Hypergeometric2F1*From*: Janos TOTH <jtoth at helka.iif.hu>*Date*: Wed, 6 Apr 2005 03:11:03 -0400 (EDT)*References*: <20050405103910.YEJS29182.lakermmtao01.cox.net@smtp.east.cox.net>*Reply-to*: "jtoth (helka)" <jtoth at helka.iif.hu>*Sender*: owner-wri-mathgroup at wolfram.com

Hello Bob, I am sorry, I have mistyped something, but I am interested in the integral on [0,1] and _not_ on [0,2]! Thank you for your quick check. Janos Tuesday, April 5, 2005, 12:39:10 PM, you wrote: BH> Works on my version BH> $Version BH> 5.1 for Mac OS X (January 27, 2005) BH> Integrate[x^100/(x+2),{x,0,2}] BH> -(9503343334714997237896336168082647022052771377490530168503 BH> 53071587328/ BH> 1089380862964257455695840764614254743075) - BH> 1267650600228229401496703205376*Log[2] + BH> 1267650600228229401496703205376*Log[4] BH> %//N BH> 6.306563320381821*^27 BH> NIntegrate[x^100/(x+2),{x,0,2}] BH> 6.306563320381638*^27 BH> Bob Hanlon >> >> From: "janos" <jtoth at helka.iif.hu> To: mathgroup at smc.vnet.net >> Date: 2005/04/05 Tue AM 03:21:13 EDT >> To: mathgroup at smc.vnet.net >> Subject: [mg55775] [mg55743] Re: Numerical accuracy of Hypergeometric2F1 >> >> I wanted to calculate Integrate[x^100/(x+2),{x,0,2}] and even the sign >> of the result is just negatvie. The reason is the same as above: Mathematica >> calculates the integral symbolically, using a hypergeometric function, >> then (s)he is unable to numerically evaluate it. >> I got the good result if I used NIntegrate. >> Janos Toth >> Dept Math Anal >> Budapest Univ Technol Ecol. >> >> Best regards, Janos mailto:jtoth at helka.iif.hu Tel. (home): 36-1-242-0640 Tel. (office): 36-1-463-2314 or 36-1-463-2475 Fax: 36-1-463-3172 Homepage: www.math.bme.hu/~jtoth