Re: Summation Formulae Table
- To: mathgroup at smc.vnet.net
- Subject: [mg28440] Re: Summation Formulae Table
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Thu, 19 Apr 2001 03:26:28 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <9bjg2v$gs8@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
no, because Mathematica use different series expansions
with different expansion points. You may choose a expansion
point with nonzero connvergence radius and use a Taylor/Laurent
of Frobenuis expansion depending on the function.
The best way is to look into the standard books like
Abromovitz/Stegun
Regards
Jens
O D wrote:
>
> Is there a way to access the tables that Sum[] uses to simplify summations into
> known functions like for example
>
> Sum[Exp[-a* n^2], {n, -Infinity, Infinity}]
>
> is simplified into
>
> EllipticTheta[3, 0, E^(-a)]
>
> Is there a way to use the table in reverse, to approximate a known function?
>
> I am not interested in the above example, so please do not tell me how I can
> approximate EllipticTheta[]...
>
> I am a rather naive Mathematica user, so please be explicit.
>
> Thank you.
> O