Re: Re: Numerical accuracy of Hypergeometric2F1
- To: mathgroup at smc.vnet.net
- Subject: [mg55772] Re: [mg55743] Re: Numerical accuracy of Hypergeometric2F1
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Wed, 6 Apr 2005 03:11:01 -0400 (EDT)
- Reply-to: hanlonr at cox.net
- Sender: owner-wri-mathgroup at wolfram.com
Works on my version
$Version
5.1 for Mac OS X (January 27, 2005)
Integrate[x^100/(x+2),{x,0,2}]
-(9503343334714997237896336168082647022052771377490530168503
53071587328/
1089380862964257455695840764614254743075) -
1267650600228229401496703205376*Log[2] +
1267650600228229401496703205376*Log[4]
%//N
6.306563320381821*^27
NIntegrate[x^100/(x+2),{x,0,2}]
6.306563320381638*^27
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: [mg55772] [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.
>
>