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