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Re: Another Mathematica 6 bug?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg86306] Re: Another Mathematica 6 bug?
  • From: "David W.Cantrell" <DWCantrell at sigmaxi.net>
  • Date: Sat, 8 Mar 2008 05:40:07 -0500 (EST)
  • References: <fqqrva$kc2$1@smc.vnet.net>

Francogrex <franco at grex.org> wrote:
> This integration below:
> FullSimplify[Integrate[p*p^X*(1 - p)^(n - X)*p^(X - 1/2)*
>     (1 - p)^(n - X - 1/2), {p, 0, 1}, GenerateConditions -> False]]
>
> Should give:
> (Gamma[1/2 + 2*n - 2*X]*Gamma[3/2 + 2*X])/Gamma[2 + 2*n]
>
> Instead in mathematica 6, it's giving:
> (1/2)*Pi*(4*X + 1)*Hypergeometric2F1[-2*n, 2*X + 3/2, 2,
> 1]*Sec[2*Pi*X]
>
> Something wrong?

Not that I know of.

What makes you think that

(Gamma[1/2 + 2*n - 2*X]*Gamma[3/2 + 2*X])/Gamma[2 + 2*n]

and

(1/2)*Pi*(4*X + 1)*Hypergeometric2F1[-2*n, 2*X + 3/2, 2, 1]*Sec[2*Pi*X]

are not equivalent?

David


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