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Re: Hypergeometric2F1



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



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