[Axiom-developer] [Axiom-mail] beginner question about sum(...)

[Martin Rubey]

Dear Kostas,

Kostas Oikonomou writes:
 > 
 > But I was disappointed by the sum(1/k^2, k=1..n) example.  I saw that
 > Gosper's method is implemented in sum.spad.pamphlet, but this (rather
 > simple) sum needs symbolic manipulation of gamma and psi functions, which is
 > not there.  More generally, special functions seem to be handled only
 > numerically.  At least for my prospective use of Axiom, this points to a
 > rather big "hole". And I wonder how many others of this sort there are.
 > 
 > I also tried sum(1/(k*(k+a)), k=1..n).  That was also returned unevaluated,
 > although Gosper's method should handle it.

Why should Gosper's method handle it? As far as I can see the solution is not
hypergeometric?


Martin



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