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MathGroup Archive 2005

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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


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