I found this old post, I think it wasn't answered so I'll try.
On Tuesday, November 9, 2010 7:52:22 PM UTC+1, Geoff wrote:
>
> Mathematica has a symbolic product so that means Sage should. I don't
> think Sage does.
> I found symbolic sum but not symbolic product in the reference files.
> I need to be able to define a function of a variable x which involves
> several symbolic products from 1 to n or whatever. I then want to be
> able to do a derivative and a limit of this. ...
I have looked for a similar thing, and couldn't find it. Of all missing
symbolic functions this is one of the most glaring. Note that pari has
? ?prod
prod(X=a,b,expr,{x=1}): x times the product (X runs from a to b) of
expression.
but the pari.* interface to it doesn't exist, only via
sage: gp("prod(x=1,10,x)")
3628800
can it be accessed, and it's numerical in the limits.
Secondly, maxima provides
product(k,k,1,n), simpproduct;
n!
but I don't know which simplification are possible with it.
Sage's interface to it must be defect because
sage: maxima.product(k,k,1,n).sage()
k^n
Details at http://trac.sagemath.org/ticket/17502
Regards,
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