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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?


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