Re: [Axiom-mail] manipulating series not as streams but as sumations

[Ralf Hemmecke]

On 10/21/2014 05:58 AM, Gustavo Goretkin wrote:
> Is it possible to get out of
> 
> series(sin(x),x=0)
> 
> an object that looks more like sum_n=0^n=\infty  (-1)ˆn * x^(2n+1) /
> (2n+1)! than
> 
> x - (1/6)x^3 + (1/120) x^5 ....

Ooops, sorry, I haven't read carefully enough.

The answer is no. At least the "series" command isn't doing that.
Internally a series is stored (more or less) as the list of coefficients
plus a function to extract "the next coefficient". Yes there is a
function object, but there is no explicit expression like

  (-1)ˆn * x^(2n+1) / (2n+1)!

stored internally.

Ralf