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

```

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