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From: Axel Vogt <&noreply@axelvogt.de>
Newsgroups: comp.soft-sys.math.maple
Subject: Re: A hypergeom evaluation
Date: Thu, 05 Jan 2012 23:02:22 +0100
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On 05.01.2012 21:17, Peter Luschny wrote:
> On 5 Jan., 20:05, Axel Vogt<&nore...@axelvogt.de>  wrote:
>
>> Hm, in Maple 15 that code does not execute, G(2,1) gives me
>>    "Error, (in hypergeom/check_parameters) function doesn't exist,
>>    found the number 0 in the second list of parameters"
>
> Makes sense according to the first case in my last message.
>
>> So I used
>> g := (n,m,x) ->  (m/n)*2^(n-m)*binomial(2*n-1-m,n-1)*
>>      Hypergeom([1/2+1/2*m, m-n, 1/2*m],[m, 1+m-2*n],x)
>>      -1/2*binomial(-m+1+2*n,n)*binomial(n-2,n-1)*
>>      Hypergeom([1,1,-1/2*m+3/2+n,-1/2*m+1+n],[-m+2+n, n+1,-n+2],x);
>
> Why Hypergeom and not hypergeom?

It does not evaluate ... Like "Int" and "int". Used some HYP
as dummy function before to see what happens to binomial.
A kind of reflex to get rid of the specific situation (which
once I was educated to do).

>
>> Then it works and gives me:
>> for n from 1 to 5 do seq(round(evalf(g(n,m,2))),m=1..n) od;
>
> Ok, so in this case there is no difference to my results.
>
>> for n from 1 to 5 do seq(simplify(value( g(n,m,2) )),m=1..n) od;
>> However in Maple 15 it works (up to notations as above).
>
> So they fixed at least one bug in the last 10 releases :)
> But why does my version G(2,1) not work any more?

Do not know, can not think 10 releases back :-)

Will (try to) answer the other post tomorrow ...

BTW: Gutes Neues! Axel