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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  
please and thanks in advance.

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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