RE: Re: More integration/ fullsimplify bugs in Mathematica 4.1
- To: mathgroup at smc.vnet.net
- Subject: [mg41687] RE: [mg41672] Re: [mg41651] More integration/ fullsimplify bugs in Mathematica 4.1
- From: "Yahoo" <stefanofricano at yahoo.it>
- Date: Sat, 31 May 2003 06:07:33 -0400 (EDT)
- Reply-to: <fricano at dsfa.fisica.unipa.it>
- Sender: owner-wri-mathgroup at wolfram.com
At my machine, I get the following:
(second) Out[4]=((-1 + n) Gamma[1 - n] (-1 +
1 b + 2 a x n
(- + ----------------) (-1 + Gamma[2 - n])
2 2
2 Sqrt[b - a c] Hypergeometric2F1Regularized[1 - n, n, 2 - n,
1 b + 2 a x c n
- - ----------------])) / (- + x (b + a x)) 2 Sqrt[b - a c]
2 2 4
So, where is the problem? In machine used?
Fricano Stefano,
->-----Original Message-----
->From: Bobby Treat [mailto:drmajorbob+MathGroup3528 at mailblocks.com]
To: mathgroup at smc.vnet.net
->Sent: Friday, May 30, 2003 9:56 AM
->To: mathgroup at smc.vnet.net
->Subject: [mg41687] [mg41672] Re: [mg41651] More integration/ fullsimplify bugs in
->Mathematica 4.1
->
->
->At my machine, I get the following:
->
->Integrate[1/(a*x^2 + b*x + c/4)^n, x];
->FullSimplify[%];
->D[%, x];
->FullSimplify[%]
->
->(c/4 + x*(b + a*x))^(-n)
->
->Bobby
->
->-----Original Message-----
->From: Richard Fateman <fateman at cs.berkeley.edu>
To: mathgroup at smc.vnet.net
->To: mathgroup at smc.vnet.net
->Subject: [mg41687] [mg41672] [mg41651] More integration/ fullsimplify bugs
->in Mathematica
->4.1
->
->Integrate[1/(a*x^2 + b*x + c/4)^n, x]
->FullSimplify[%]
->D[%,x]
->InputForm[FullSimplify[%]] ==>
->
-> (4^n*(-1 + n)*Gamma[1 - n]*
-> (-1 + (1/2 + (b + 2*a*x)/(2*Sqrt[b^2 - a*c]))^n*
-> (-1 + Gamma[2 - n])*Hypergeometric2F1Regularized[
-> 1 - n, n, 2 - n, 1/2 - (b + 2*a*x)/
-> (2*Sqrt[b^2 - a*c])]))/(c + 4*True*(b + a*True))^n
->
->notice the denominator has some variable "True" in it.
->
->Cheers.
->RJF
->