As a side remark, I want to remind you that there is no such thing like \( b^z \) generally for complex b. Because of the ambiguity
\( e^{(\log(b)+2\pi i k)z} \), \( k\in\mathbb{Z} \). I rather would talk about iteration of functions \( e^{az} \) for complex \( a \).
I also wonder whether we already have shown that \( e^{az} \) has at most one attracting fixpoint, i.e. exactly one if \( e^a \) is in the Shell-Thron-Region, and none outside.
\( e^{(\log(b)+2\pi i k)z} \), \( k\in\mathbb{Z} \). I rather would talk about iteration of functions \( e^{az} \) for complex \( a \).
I also wonder whether we already have shown that \( e^{az} \) has at most one attracting fixpoint, i.e. exactly one if \( e^a \) is in the Shell-Thron-Region, and none outside.
