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MathGroup Archive 2005

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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.
> 
> 


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