Re: A hard serie : sum_n exp^(-a*n²)
- From: hrubin@xxxxxxxxxxxxxxxxxxxx (Herman Rubin)
- Date: 19 Aug 2008 18:48:12 -0400
In article <b8b2131b-d2e8-4fa4-a5f2-65c175f26cae@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
ettevy <han.wang1981@xxxxxxxxx> wrote:
Hello,
Does anyone know how to calculate the following power serie:
f(a)=sum_n exp(-a*n*n), with a>0 a real number and n natural number
from 0 to +infty.
I need the analytic expression of this serie. It seems to be a
approximation of the gaussian integral which is easy to calculate.
Look up elliptic modular functions.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.
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- A hard serie : sum_n exp^(-a*n²)
- From: ettevy
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