Is sexp(z) pseudounivalent for Re(z) > 0 ?

[tommy1729]

Let a,b > 0. Let a',b' > 0.
Because exponential iterations of a + b i usually get arbitrarily close to any other a' + b' i , I am tempted to say that sexp(z) is NOT psuedounivalent.

So entire superfunctions are usually not pseudounivalent and since many iterations of analytic functions behave chaotic (like exp) , neither are most nonentire superfunctions.

So, what is an example of a nontrivial pseudounivalent superfunction ?

If they exist at all ?

Together with my friend mick im working on this.

Im pessimistic though.
And you ?

regards

tommy1729