08/10/2009, 05:31 PM
(08/10/2009, 05:24 AM)andydude Wrote: superfunction of F = iterational of FIterational sounds good, however we dont have a problem with superfunction, but with the super- prefix.
Quote:super-exponential = iter-exponentialImho this doesnt sound very convincing. Additionally if you pronounce iter as i-ter, then this sounds like the German word for pus.
Quote:super-logarithm = inverse iter-exponential = Abel function of exponentialWhat was needed here was a prefix, both alternatives are not a prefix.
If we abuse Abel as a prefix, like Abel-exponential, then it rather sounds like a particular kind of an exponential, rather than something completely different from an exponential.
btw. in the textbook of Milnor, featured in some other thread, they call the Abel function also Fatou function, and the Schröder function also Kœnigs function.