[Date Index] [Thread Index] [Author Index]

Re: Hypergeometric2F1

• To: mathgroup at smc.vnet.net
• Subject: [mg93183] Re: Hypergeometric2F1
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Thu, 30 Oct 2008 02:02:34 -0500 (EST)

On 10/29/08 at 5:50 AM, DWCantrell at sigmaxi.net (David W. Cantrell)
wrote:

>Artur <grafix at csl.pl> wrote:
>>Dear Mathematica Gurus! Who know which Mathematica procedure to use
>>to find such a,b,c that
>>ArcCosh[2]/ArcCosh[2-x]==Hypergeometric2F1[a,b,c,x] for
>>{x,-Infinity,1}

>It seems that you are wanting to determine a,b,c such that

>ArcCosh[2]/ArcCosh[2-x]==Hypergeometric2F1[a,b,c,x]

>would be an identity for x < 1. But that is not possible. What made
>you think it would be possible?

Given

In[17]:= Hypergeometric2F1[a, b, c, 0]

Out[17]= 1

It appears there are infinitely many solutions. Is the result
returned by Mathematica for Hypergeometric2F1[a,b,c,x] incorrect
when x = 0? What am I missing here?

• Follow-Ups:
  • Re: Re: Hypergeometric2F1
    • From: Artur <grafix@csl.pl>
  • Re: Re: Hypergeometric2F1
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>