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Re: Function Solve from its Property

• To: mathgroup at smc.vnet.net
• Subject: [mg50264] Re: Function Solve from its Property
• From: Paul Abbott <paul at physics.uwa.edu.au>
• Date: Mon, 23 Aug 2004 06:34:48 -0400 (EDT)
• Organization: The University of Western Australia
• References: <cg97cc$a5k$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

In article <cg97cc$a5k$1 at smc.vnet.net>,
 mathma18 at hotmail.com (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

  http://cdec.unican.es/ftp/herramientas/fsolve/Packages/ 

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 9380 2734
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