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

**From**: |
Martin Rubey |

**Subject**: |
[Axiom-developer] [Axiom-mail] beginner question about sum(...) |

**Date**: |
Mon, 31 Jan 2005 11:51:15 -0600 |

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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