Re: Re: Hypergeometric2F1
- To: mathgroup at smc.vnet.net
- Subject: [mg93193] Re: [mg93156] Re: [mg93136] Hypergeometric2F1
- From: Artur <grafix at csl.pl>
- Date: Thu, 30 Oct 2008 02:04:21 -0500 (EST)
- References: <200810280954.EAA22098@smc.vnet.net> <200810291049.FAA09463@smc.vnet.net>
- Reply-to: grafix at csl.pl
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
>
>
>
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- References:
- Hypergeometric2F1
- From: Artur <grafix@csl.pl>
- Re: Hypergeometric2F1
- From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
- Hypergeometric2F1