Re: Discrepancy between Integrate and NIntegrate

*To*: mathgroup at smc.vnet.net*Subject*: [mg83671] Re: Discrepancy between Integrate and NIntegrate*From*: "David W.Cantrell" <DWCantrell at sigmaxi.net>*Date*: Wed, 28 Nov 2007 05:26:36 -0500 (EST)*References*: <figut3$fqd$1@smc.vnet.net>

chuck009 <dmilioto at comcast.com> wrote: > > > > If you have any further questions, let me know. When I said that, I meant any further questions directly related to the discrepancy you initially mentioned and the work-around which I then provided. Offhand, I don't know the answer to your question below. Perhaps someone else can help you with it. David > Ok . . . I don't see any way to plot other branches of the Hypergeometric > function in Mathematica. I can plot the real component of the > "principal" branch with this: > > F[z_] := Hypergeometric2F1[1/2 - I/2, 1, 3/2 - I/2, z] > p1 = Plot3D[Evaluate[Re[F[z] /. z -> x + I*y]], {x, -5, 5}, > {y, -5, 5}, Exclusions -> {y == 0}, PlotRange -> All] > > and integrating the Hypergeometric differential equation across the > principal branch cut, I can "get at" other branches. > > Is there any nice way in Mathematica to plot the second branch?