Re: convert an expression to an infinite series
- To: mathgroup at smc.vnet.net
- Subject: [mg29630] Re: convert an expression to an infinite series
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Fri, 29 Jun 2001 01:36:03 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <9heu94$6ne$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi, http://www.mathsource.com/Content/Enhancements/MathFunctions/0207-379 Regards Jens "Toshiyuki (Toshi) Meshii" wrote: > > 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