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Re: [Axiom-mail] manipulating series not as streams but as sumations
From: |
Ralf Hemmecke |
Subject: |
Re: [Axiom-mail] manipulating series not as streams but as sumations |
Date: |
Tue, 21 Oct 2014 08:21:19 +0200 |
User-agent: |
Mozilla/5.0 (X11; Linux x86_64; rv:31.0) Gecko/20100101 Thunderbird/31.1.2 |
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