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Re: Simplification to Partial Fractions

• To: mathgroup at smc.vnet.net
• Subject: [mg59695] Re: [mg59676] Simplification to Partial Fractions
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Thu, 18 Aug 2005 00:16:28 -0400 (EDT)
• References: <200508170800.EAA24832@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

On 17 Aug 2005, at 10:00, Jon Palmer wrote:

> I was wondering if someone can help with a Partial Fraction problem.
>
> I have a calculated expression, u, which is a quotient of two  
> polynomials in
> three variables x, y & z.
>
>
> u = P(x,y,z)/Q(x,y,z)
>
>
> I know that the quotient, when simplified, is a sum of partial  
> fractions of
> the form
>
> u = R(x,y,z) + S(x,y,z)/(x^2 +y^2)  + T(x,y,z)/(y^2 +z^2) + U 
> (x,y,z)/(z^2
> +x^2)
>
>
> Is there a way to simplify the expression into the parial fraction  
> form?
>
> I have tried various combinations of Simplify, Apart, Collect etc.  
> and can't
> find a method that works. Any help would be much appreciated.
>
> Thanks
> Jon Palmer
>
>

It should be possible to do this using PolynomialReduce but you would  
have to post the actual problem before I could tell for sure.

Andrzej Kozlowski

• References:
  • Simplification to Partial Fractions
    • From: "Jon Palmer" <Jonathan.palmerNOSPAM@new.ox.ac.uk>