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symbolic division of series

• To: mathgroup at smc.vnet.net
• Subject: [mg113151] symbolic division of series
• From: Leslaw Bieniasz <nbbienia at cyf-kr.edu.pl>
• Date: Fri, 15 Oct 2010 13:52:22 -0400 (EDT)

Hi,

Suppose that I have two series expansions (Taylor or asymptotic 
expansions) for functions f(x) and g(x). This means I know the formulae
for the series coefficients. Is there any way to use MATHEMATICA
to obtain symbolically the formulae for the coefficients 
of the analogous series expansion of the ratio f(x)/g(x) ?
I need a possibly large number of the coefficients of such an expansion,
expressed as functions of the coefficients for f(x) and g(x).

Leslaw

• Follow-Ups:
  • Re: symbolic division of series
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: symbolic division of series
    • From: "Ingolf Dahl" <ingolf.dahl@telia.com>