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Re: Hypergeometric2F1

• To: mathgroup at smc.vnet.net
• Subject: [mg93156] Re: [mg93136] Hypergeometric2F1
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Wed, 29 Oct 2008 05:49:13 -0500 (EST)
• References: <200810280954.EAA22098@smc.vnet.net>

On 28 Oct 2008, at 18:54, Artur 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}
> BEST WISHES
> ARTUR
>


What makes you think such a,b,c exist?
This seems to indicate that they do not:

  FindInstance[LogicalExpand[
          ArcCosh[2]/ArcCosh[2 - x] -
              Hypergeometric2F1[a, b, c, x] + O[x]^5 ==
            0], {a, b, c}]
  {}

Andrzej Kozlowski

• Follow-Ups:
  • Re: Re: Hypergeometric2F1
    • From: Artur <grafix@csl.pl>

• References:
  • Hypergeometric2F1
    • From: Artur <grafix@csl.pl>