       Series Expansion

• To: mathgroup at smc.vnet.net
• Subject: [mg100457] Series Expansion
• From: Ossama Kullie <okullie at chimie.u-strasbg.fr>
• Date: Thu, 4 Jun 2009 06:32:42 -0400 (EDT)
• References: <h02vo6\$8ek\$1@smc.vnet.net> <h050kr\$abg\$1@smc.vnet.net>

```Hi every body,

I have the following function fm which is a rational between to series :

fm1 = 1 + Sum[a_n*x^n, {n, 1, M}]
fm2 = 1 + Sum[b_n*x^n, {n, 1, M + 2}]
fm = (fm1/fm2) // Expand

Now I want to have aseries exansion of fm to some order:

Series[fm, {x, 0, 5}] // Expand
But I get the input nothing else? can somebody there give me some hit

1/(1 + \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(n = 1\), \(2 + M\)]\(
\*SuperscriptBox[\(x\), \(n\)]\ b_n\)\)) + \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(n = 1\), \(M\)]\(
\*SuperscriptBox[\(x\), \(n\)]\ a_n\)\)/(1 + \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(n = 1\), \(2 + M\)]\(
\*SuperscriptBox[\(x\), \(n\)]\ b_n\)\))

Best Regards,
O. Kullie

```

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