Dmitrii, I am currently programming your tetration extension.
I just want to mention some misprints, that shouldnt go into your published paper.
In formulas (3.2), (3.3), (3.4), (3.6), (4.4) you always omit the minus sign in front of the 1 below the log. Only in the computation formula 4.2 the minus sign is at the right place.
There may be also some simplifications (avoidance of doublification with \( L \) and \( \overline{L} \)) if you would put \( F(\overline{z})=\overline{F(z)} \) into your assumption, which is quite reasonable and which you are also using in (4.7).
In formula (3.4),(4.4) either the \( A \) in \( {\mathcal K}_A \) should be omitted, or it should be appended whenever you use \( {\mathcal K} \)
I just want to mention some misprints, that shouldnt go into your published paper.
In formulas (3.2), (3.3), (3.4), (3.6), (4.4) you always omit the minus sign in front of the 1 below the log. Only in the computation formula 4.2 the minus sign is at the right place.
There may be also some simplifications (avoidance of doublification with \( L \) and \( \overline{L} \)) if you would put \( F(\overline{z})=\overline{F(z)} \) into your assumption, which is quite reasonable and which you are also using in (4.7).
In formula (3.4),(4.4) either the \( A \) in \( {\mathcal K}_A \) should be omitted, or it should be appended whenever you use \( {\mathcal K} \)