Re: Discrepancy between Integrate and NIntegrate
- To: mathgroup at smc.vnet.net
- Subject: [mg83655] Re: Discrepancy between Integrate and NIntegrate
- From: chuck009 <dmilioto at comcast.com>
- Date: Tue, 27 Nov 2007 06:16:36 -0500 (EST)
>
> If you have any further questions, let me know.
>
> 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?