Question about tetration methods

[Gottfried]

Gottfried claimed that there were about fifteen approaches to tetration. Could someone list the more important techniques? Any additional information would be great.

Hi Daniel - there must have been a lightning in the air... frizzeling the electronic of our silicium cpus... I know of a handful of methods, but I think my hand has only 5 fingers ... ;-)) 


For the list of techniques a curated list in the tetration-wiki were really good. Unfortunately I did never understand the methods from Kneser on upwards: no cauchy-integral (Kouznetsov), no theta mapping, no fourier series, no beta method, no 2sin, no ... no no no ... ;-) otherwise I really would like to make it my hobby to undertake a catalogue of methods.

Gottfried