Cyclic complex functions and uniqueness

[Kouznetsov]

Hi -
just read your very interesting article. However, I have one remark.
In Eq. 1.3) you define

(1)\( \hspace{24} \exp_a^z(t)= \exp_a(\exp_a^{^{z-1}}(t)) \)

But for the case z->inf we never have a starting condition.
Such a starting condition would be allowed by the alternative definition

(2)\( \hspace{24} \exp_a^z(t)=\exp_a^{^{z-1}}(\exp_a(t)) \)

So I think, it is better to define it this way.

Gottfried, may I postulate that \( \exp^0(t)=t \) and \( \exp^{-1}(t)=0 \) ? In this case, will be any difference between definiitons (1) and (2)?

(P.S. Does the number of replies I should answer grow as the Ackermann function of time, or just exponentially?)