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MathGroup Archive 2004

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Re: Function Solve from its Property

  • To: mathgroup at
  • Subject: [mg50264] Re: Function Solve from its Property
  • From: Paul Abbott <paul at>
  • Date: Mon, 23 Aug 2004 06:34:48 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <cg97cc$a5k$>
  • Sender: owner-wri-mathgroup at

In article <cg97cc$a5k$1 at>,
 mathma18 at (Narasimham G.L.) wrote:

> Regarding versatililty in handling functions. Starting with a
> characteristic  property definition of any function, how does
> Mathematica e.g., Solve[f[x_] +or- f[y_]==f[x *or/ y]] to provide its
> solution f[u_]=C Log[u] ?

See the article "Solving a Functional Equation" by Enrique Castillo, 
José Manuel Gutiérrez, and Andrés Iglesias in The Mathematica Journal 
5(1), 1995: 82-86. The associated package, which I have not tested, is 
available at 


Paul Abbott                                   Phone: +61 8 9380 2734
School of Physics, M013                         Fax: +61 8 9380 1014
The University of Western Australia      (CRICOS Provider No 00126G)         
35 Stirling Highway
Crawley WA 6009                      mailto:paul at 

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