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