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 and ) if you would put into your assumption, which is quite reasonable and which you are also using in (4.7).

In formula (3.4),(4.4) either the in should be omitted, or it should be appended whenever you use

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 and ) if you would put into your assumption, which is quite reasonable and which you are also using in (4.7).

In formula (3.4),(4.4) either the in should be omitted, or it should be appended whenever you use