Product - strange behaviour



-----maxima-bounces at math.utexas.edu wrote: -----

>I tried to compute
>
>(%i1) product(3*k,k,1,n), simpproduct;
>Nothing happens - MAXIMA delivers only the input instead of 3^n*n!
>
>But:
>(%i2) product(3,k,1,n), simpproduct;
>(%o2) 3^n
>(%i3) product(k,k,1,n), simpproduct;
>(%o3) n!
>
>Why is Maxima able to compute all parts, but not the whole given product?

Simpproduct isn't all that smart. Here is another case that simpproduct
misses:

  (%i79) product(k/(k + 1),k,1,n),simpproduct;
  (%o79) product(k/(k+1),k,1,n)

I'm unaware of an easy workaround for these cases. Why is simpproduct
unable
to simplify these products? I think it's because nobody has volunteered to
extend simpproduct.

Barton