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Re: Re: Hypergeometric2F1


Dear Mathematica Gurus!

FindInstance isn't appropriate function to use together with 
Hypergeometric2F1 what we can see on bellow example:

In[1]: FindInstance[9/5 - Hypergeometric2F1[1/4, 1/2, c, 80/81] == 0,   
c] // Timing

<<FindInstance::nsmet: The methods available to FindInstance are \
insufficient to find the requested instances or prove they do not \
exist. >>

Out[1]:{0.297, FindInstance[9/5 - Hypergeometric2F1[1/4, 1/2, c, 80/81] 
== 0,
   c]}

good answer is c=3/4

Because FindInstance crash on one parameter equation from these reason 
we can be 100% sure that also crash on 3 parameters equation.

 From these reason I was ask about interpolating function/propcedure 
inspite FindIsntance which will be work with Hypergeometric2F1.


Best wishes
Artur





Andrzej Kozlowski pisze:
> 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
>
>
>
> __________ Information from ESET NOD32 Antivirus, version of virus signature database 3565 (20081029) __________
>
> The message was checked by ESET NOD32 Antivirus.
>
> http://www.eset.com
>
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>
>   


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