Re: Hypergeometric2F1 gives wrong complex infinities

*To*: mathgroup at smc.vnet.net*Subject*: [mg100881] Re: Hypergeometric2F1 gives wrong complex infinities*From*: pfalloon <pfalloon at gmail.com>*Date*: Wed, 17 Jun 2009 04:36:59 -0400 (EDT)*References*: <h19i96$p8o$1@smc.vnet.net>

On Jun 17, 11:52 am, Wieland Brendel <wielandbren... at gmx.net> wrote: > Dear all! > I currently have a problem with the hypergeometric function: Consider > > Hypergeometric2F1[1, I, I + 1, -Exp[a]] > > Whenever I set a > 36 I only get "complex infinity" as a result although > it should be perfectly finite (take 10 as a scale). Is there any way to > expand the range of a to higher values? > > I would be very thankful for a solution! A big thanks in advance and > best greetings from germany! > > Wieland Brendel > > PS: I use Mathematica 7. Hi Wieland, I don't see the problem you report: In[260]:= $Version Out[260]= 7.0 for Microsoft Windows (32-bit) (February 18, 2009) In[262]:= Hypergeometric2F1[1, I, I+1, -Exp[#]] & /@ {35,36,37,100} // N Out[262]= {-0.245831+0.116478 I, -0.0348098+0.269793 I, 0.208215+0.175061 I, 0.234576+0.137746 I} Can you reproduce the problem, showing the exact input? Cheers, Peter.