Infinite sum of n^2 Exp[-n^2]
- To: mathgroup at smc.vnet.net
- Subject: [mg26477] Infinite sum of n^2 Exp[-n^2]
- From: "A. E. Siegman" <siegman at stanford.edu>
- Date: Fri, 22 Dec 2000 22:46:14 -0500 (EST)
- Organization: Stanford University
- Sender: owner-wri-mathgroup at wolfram.com
Mathematica can do the infinite sums (-Infinity to Infinity) of Exp[-n^2] and also Exp[- a n^2] in closed form, but not n^2 Exp[-n^2] or better n^2 Exp[- a n^2] Are there known closed analytical forms for these? Thanks siegman@@stanford.edu