       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>

```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

```

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