convert an expression to an infinite series
- To: mathgroup at smc.vnet.net
- Subject: [mg29618] convert an expression to an infinite series
- From: "Toshiyuki \(Toshi\) Meshii" <meshii at mech.fukui-u.ac.jp>
- Date: Thu, 28 Jun 2001 05:28:07 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
Does anyone know a way to convert an expression to an infinite series?
Let me show the idea by a concrete problem.
In[29]:=
Sum[E^(-2*m*n*L), {n, 0, Infinity}]
Out[29]=
E^(2*L*m)/(-1 + E^(2*L*m))
Yes, Mathematica 4.1 knows that the infinite sum converges to a specific
value.
Then, my question is that how can I expand the expression
E^(2*L*m)/(-1 + E^(2*L*m))
in an infinite series on n, in this case
Sum[E^(-2*m*n*L), {n, 0, Infinity}]
Is there any way or is it an one way path?
-Toshi
- Follow-Ups:
- Re: convert an expression to an infinite series
- From: Daniel Lichtblau <danl@wolfram.com>
- Re: convert an expression to an infinite series