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Re: Annoying error in Hypergeometric2F1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107905] Re: [mg107888] Annoying error in Hypergeometric2F1
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 2 Mar 2010 07:53:43 -0500 (EST)
  • Reply-to: hanlonr at cox.net

$Version

7.0 for Mac OS X x86 (64-bit) (February 19, 2009)

Hypergeometric2F1[1/2, 2, 3/2, -125/100]

(1/45)*(10 + 9*Sqrt[5]*
        ArcTan[Sqrt[5]/2])

% // N

0.59836

Hypergeometric2F1[1/2, 2, 3/2, -1.25]

0.59836

Hypergeometric2F1[1/2, 2, 3/2, -125/100] -
 Hypergeometric2F1[1/2, 2, 3/2, -1.25]

-1.1102230246251565*^-16


Bob Hanlon

---- anguzman at ing.uchile.cl wrote: 

=============

This is very bad and disappointing...what about version 7 ..
Looks like the symbolic evaluation is messed up..

Mathematica 6.0 for Linux x86 (32-bit)
Copyright 1988-2008 Wolfram Research, Inc.

In[1]:= Hypergeometric2F1[1/2, 2, 3/2, -125/100]

                                Sqrt[5]
         10 + 9 Sqrt[5] ArcTanh[-------]
                                   2
Out[1]= -------------------------------
                       45

In[2]:= %//N

Out[2]= 0.867836 - 0.702481 I

In[3]:= Hypergeometric2F1[1/2, 2, 3/2, -1.25]

Out[3]= 0.59836



Atte. Andres Guzman




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