Dmitrii Kouznetsov's Tetration Extension

[bo198214]

Thanks, Henryk. I think, at least for \( \ln(b)<1/\rm e \), our tetrations coincide.

I too think so, and above they can not coincide because regular iteration is not defined without fixed point, and development at non-real fixed points does not give real values on the real axis.

Though I have to mention that sometimes differences occur at the level of \( 10^{-15} \) or even \( 10^{-24} \) especially if you compare regular iterations at different fixed points.

I still wonder why do you direct the axis down (at the top it is \( \sim 5\times 10^{-10} \) and at the bottom \( \sim 160\times 10^{-10} \)),

Because I am just too lazy to properly orientate the drawing . Instead was more focussed to let it look nice, haha.

but anyway, I believe, you have many correct decimal digits.

I can arbitrarily increase the precision, it just takes longer then.