11/25/2007, 01:15 AM

Two comments.

@Henryk

The infinitely iterated exponential with branch indecies is probably the best way:

with the value substituted for x as in . Using the Lambert W function branches, this gives and which are exactly those that you would expect.

@Jay

Why is it 18-periodic? I understand it would be periodic in the imaginary direction just like base-e, but why 18?

Andrew Robbins

@Henryk

The infinitely iterated exponential with branch indecies is probably the best way:

with the value substituted for x as in . Using the Lambert W function branches, this gives and which are exactly those that you would expect.

@Jay

Why is it 18-periodic? I understand it would be periodic in the imaginary direction just like base-e, but why 18?

Andrew Robbins