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Re: approximate functions in polynomial

  • To: mathgroup at
  • Subject: [mg53921] Re: approximate functions in polynomial
  • From: Paul Abbott <paul at>
  • Date: Fri, 4 Feb 2005 04:11:16 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <ctnim6$f16$>
  • Sender: owner-wri-mathgroup at

In article <ctnim6$f16$1 at>,
 "Tun Myint Aung" <TMA at> wrote:

> How can we approximate the following functions by polynomials ?
> f(a,b,c,d) = 1 / [ (a - b)^2 + (c - d)^2]
> I have tried to use Series in Mathematica but the result is complicated
> and not close at all to the exact value if maximum power is 3.

Exactly why do you want to do this? The intended application and some 
background would help. Clearly if a == b and c == d the function is 
infinite and not easy to approximate by a polynomials ...


Paul Abbott                                   Phone: +61 8 6488 2734
School of Physics, M013                         Fax: +61 8 6488 1014
The University of Western Australia      (CRICOS Provider No 00126G)         
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Crawley WA 6009                      mailto:paul at 

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