So f(z) is of the form

f(z) =

exp(z + fake_ln( (- e^(-z) z^3 - e^(-z) z + 1 ) / (z^2+1) )) + z

, such that the derivative at both the fixpoints is a real Q.

If Q lies between 0 and 1 that can give a nice " angle fractal ".

However the case Q > 1 is also very intresting and gives an analogue of sexp for the superfunction of f(z).

This should be worth an investigation !

regards

tommy1729

f(z) =

exp(z + fake_ln( (- e^(-z) z^3 - e^(-z) z + 1 ) / (z^2+1) )) + z

, such that the derivative at both the fixpoints is a real Q.

If Q lies between 0 and 1 that can give a nice " angle fractal ".

However the case Q > 1 is also very intresting and gives an analogue of sexp for the superfunction of f(z).

This should be worth an investigation !

regards

tommy1729