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MathGroup Archive 2004

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Re: Hypergeometric function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg50202] Re: Hypergeometric function
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 20 Aug 2004 04:57:48 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <cg20ms$p0q$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

it depend on your input data, i. e.,

In[]:=Hypergeometric2F1[1, 2, 3, 0.5]
Out[]=1.54518
In[]:=Hypergeometric2F1[1, 2, 3, 0.5`30]
Out[]=1.54517744447956247533785697166

In[]:=Hypergeometric2F1[1, 2, 3, 0.5`300]
Out[]=1.5451774444795624753378569716654125446040010748820420329654400759471489757575\
577248469066159713495003360118481645654858694841618860650444562613660130806076\
954458205666269714815224563089911333877689868009229159836419129638013814525994\
5652124419787311620706360362405676261093314123283391326251961634992

Regards
  Jens


Scott wrote:
> 
> I have a finite alternating series of hypergeometric (2F1) functions.
> These functions have complex parameters.  When I sum the series I get
> larger and larger values.  My question is this,  does anyone know how
> precise Mathematica is when calculating a hypergeometric fn
> numerically ie, how many sig figs are correct?
> 
> I have done various transformations on the hypergeometric fn and then
> summed the series.  Each time I arrive at the same result.
> 
> Thanks for any replies,
> Scott


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