Re: symbolic division of series

*To*: mathgroup at smc.vnet.net*Subject*: [mg113165] Re: symbolic division of series*From*: "Ingolf Dahl" <ingolf.dahl at telia.com>*Date*: Sat, 16 Oct 2010 13:11:05 -0400 (EDT)*References*: <201010151752.NAA23522@smc.vnet.net>*Reply-to*: <ingolf.dahl at telia.com>

Something like f[x_] := a0 + a1*x + a2*x^2; g[x_] := b0 + b1*x + b2*x^2; h[x_] := f[x]/g[x]; Series[h[x], {x, 0, 5}] ?? Ingolf Dahl > -----Original Message----- > From: Leslaw Bieniasz [mailto:nbbienia at cyf-kr.edu.pl] > Sent: den 15 oktober 2010 19:52 > To: mathgroup at smc.vnet.net > Subject: [mg113151] symbolic division of series > > > > 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

**References**:**symbolic division of series***From:*Leslaw Bieniasz <nbbienia@cyf-kr.edu.pl>