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Simplification to Partial Fraction

• To: mathgroup at smc.vnet.net
• Subject: [mg59679] Simplification to Partial Fraction
• From: "Jon Palmer" <Jonathan.palmer at new.ox.ac.uk>
• Date: Wed, 17 Aug 2005 04:00:30 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

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

• Follow-Ups:
  • Re: Simplification to Partial Fraction
    • From: Daniel Lichtblau <danl@wolfram.com>