"Richard Fateman" <fateman at cs.berkeley.edu> writes:
> nusum in commercial macsyma gives
>
> ((cos((b/2)))/(2 * sin((b/2)))) - ((cos(b * (k + (1/2))))/(2 * sin((b/2))))
>
...
>> I tried to find a closed form for this simple summation:
>>
>> GosperSum(sin(b*n), n, 0, N);
>>
>> I get this error message:
>>
>> Division by 0
>> #0: intLinPolyNorm(expr=sin(b*(n+1)),k=n)(norm.mac line 26)
>> #1: intLinNorm(expr=sin(b*(n+1)),k=n)(norm.mac line 45)
>> #2: intLinNormList(exprlist=[sin(b*(n+1))],k=n)(norm.mac line 135)
>> -- an error. Quitting. To debug this try debugmode(true);
Hi,
Thank you very much for the result.
I have to find some other similar sums like:
GosperSum(cos(b*k), k, D,N);
GosperSum(sin(b*k), k, D,N);
GosperSum(a^k*sin(b*k), k, D,N);
They all give the same Division by 0 errors.
If I can, I would like to help to improve GosperSum, even
though I don't think I have big chances to succeed
(because of very limited math skills and being a newbie to maxima).
Anyway if somebody can give me some hints where to start
I would appreciate it.
thanks,
Anton