polynomial equations



Hi !

I'm trying to solve pair of equations:


# 1 definition
f[n, c, z] :=
if n=0
   then z
   else (f[n-1, c, z]^2 + c);

# 2 def
   F[n, c, z] :=f[n, c, z]-z;

# 3 def
   dF[n,c,z]:=diff(F[n,c,z],z);

# pair of equations:
# n is constant
dF[n,c,z] +1 = exp(angle*%i)
F[n, c, z]=0

I want to get function
c = G(angle)
or compute values of c for given angle ( without explicite definition of 
function G )

How can I do it in Maxima ?

Any suggestions?

Adam Majewski


PS.


Theory of equation : http://xxx.lanl.gov/abs/hep-th/0701234