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how to find a function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg105186] how to find a function
  • From: barefoot gigantor <barefoot1980 at gmail.com>
  • Date: Tue, 24 Nov 2009 05:45:44 -0500 (EST)

Dear Math Group:-

Suppose we have:-

x = a * e  + (2*b - 3*a^2) * e^2

Now let us find such functions:

F(x) = 1 + a * e + (2 * b - a^2) * e^2 + ......

we are just interested in the first three terms.

Now two such functions can be:

F1(x) =  1 + x + 2 * x^2

and

F2(x) = (1-x)/(1-2*x)

How can we find all such functions F(x)?


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