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?