Am Freitag, 29. Juni 2012 16:11:01 UTC+2 schrieb kjetil1001:
>
> > You are right, it should not be 0, this is a bug. Do you know the 
> correct 
> > value? 
> > 
>
> Yes. This is a special case of the so-called Selberg integral (named 
> for Atle Selberg) ,  see 
> http://en.wikipedia.org/wiki/Selberg_integral 
>
> The special case above has the value: (G is the gamma function) 
>
> S_3(beta+1,1,gamma=1/2) = \prod_{j=1}^3  \frac{ G(beta+1+(j-1)gamma) 
> G(1+(j-1)gamma) G(1+j gamma) } 
>
> { G(beta+2+(3+j-2)gamma) G(1+gamma) } 
>

Thanks, I made this issue 3317 [1].

Vinzent


[1] 
http://code.google.com/p/sympy/issues/detail?id=3317&thanks=3317&ts=1341145588

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