Complex Tetration, to base exp(1/e)

[sheldonison]

Sheldon, I am glad you helped out on this question, I am - like always - in limited time mode.

Thanks you for your kind comments Henryk.  It has been a pleasure to learn more and more about the start of the art of complex dynamics.  I still don't quite understand all of Shishikura's papers, "Bifurcation of parabolic fixed points", an in particular, how Shishikura used perturbed fatou coordinates in his other proofs.  "In fact, in [Sh1], such a notion was already introduced and its second iterate played a crucial role in the proof of the fact that a parabolic point can be perturbed so that the Hausdorff dimension of the Julia set is arbitrarily close to 2."