Summation Formulae Table
- To: mathgroup at smc.vnet.net
- Subject: [mg28431] Summation Formulae Table
- From: O D <O_member at newsranger.com>
- Date: Wed, 18 Apr 2001 03:23:35 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
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