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MathGroup Archive 2007

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Re: Unevaluated hypergeometric functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg80897] Re: Unevaluated hypergeometric functions
  • From: "Jean-Marc Gulliet" <jeanmarc.gulliet at gmail.com>
  • Date: Wed, 5 Sep 2007 02:48:53 -0400 (EDT)
  • References: <fbj30v$nl1$1@smc.vnet.net> <46DD390A.4040009@gmail.com>

Jerry Helffrich wrote:

> But I am using a defined function in Mathematica.  It has a name:
>
> Hypergeometric2F1[a, b, c, z]
>
> and I gave it real numbers for all the arguments except z, then asked
> it to be plotted as a function of z from 1/2 to 1.

Well, I do not know what is going on on your system. For instance, the
following expression, which may not be even close to the one you are
trying to plot, but how could I tell,

Plot[Sum[Hypergeometric2F1[1, b, 2, z], {b, 1, 5}], {z, 1/2, 1}]

works fine on my system as you can check at

http://homepages.nyu.edu/~jmg336/mathematica/hyperplot.pdf

> On 9/4/07, Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com> wrote:
> > jahman wrote:
> >
> > >   I am trying to plot an expression that is a sum of Hypergeometric
> > > functions 2F1(1,b,2;z).  When I enter the plot command with my power
> > > series as the argument, I get a blank plot with no errors indicated.
> > > I'm new to Mathematica, so can you tell me what it means?
> >
> > Usually, Mathematica returns a syntacticly correct expression
> > unevaluated when it does not know what to do with it. Plot will return
> > some pair of axes. For instance, if one evaluate the following
> > expressions, f[x] is a function without any definition and Plot just
> > draws a pair of axes.
> >
> > ClearAll[f] (* To be sure that f will not be defined. *)
> > Plot[f[x], {x, 0, 10}]

-- 
Jean-Marc


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