Some more plots. I will try and inline this time...
TetraLogE is \( f(z) = \text{slog}_e(z) \), I have adopted Kouznetsov's branch structure, since it corresponds to the direction that log "naturally" goes (pun intended):
TetraLogE' is \( f'(z) \), which I did some Photoshoping on, sorry.
TetraExpE is \( f(z) = \exp_e^z(1) \), using Kouznetsov's expansion at 3i:
TetraExpE' is \( f'(z) \):
TetraExpE-z is \( f(z) = \exp_e^z(1) - z \), which shows the fixed-points of tetration as black dots:
TetraLogE is \( f(z) = \text{slog}_e(z) \), I have adopted Kouznetsov's branch structure, since it corresponds to the direction that log "naturally" goes (pun intended):
TetraLogE' is \( f'(z) \), which I did some Photoshoping on, sorry.
TetraExpE is \( f(z) = \exp_e^z(1) \), using Kouznetsov's expansion at 3i:
TetraExpE' is \( f'(z) \):
TetraExpE-z is \( f(z) = \exp_e^z(1) - z \), which shows the fixed-points of tetration as black dots: