01/15/2021, 02:57 AM
Recently James Nixon posted a paper claiming analytic tetration by using a simple phi function and banach fixed point theorem !
As I commented there, I confirm this is indeed analytic !!
So it is simple (relatively easy to compute or define ) and analytic.
But I discovered it also has a closed form more or less.
That form uses mainly the Lambert-W and phi functions.
Hence I name this type of tetration:
Nixon-Banach-Lambert-Raes tetration
Or in short
NBLR tetration.
More about that soon !
( I need to sleep now )
Not trying to steal too much credit by adding my name I hope.
This is mainly James Nixon’s result ofcourse.
Although I must add it might influence questions about my sinh method.
See also the comment I made in his thread.
I started a new title because I wanted to highlight this wonderful result and my little contribution by noting the Lambert W connection.
The naming ( NBLR ) is in order of importance.
Regards
Tom Marcel Raes
As I commented there, I confirm this is indeed analytic !!
So it is simple (relatively easy to compute or define ) and analytic.
But I discovered it also has a closed form more or less.
That form uses mainly the Lambert-W and phi functions.
Hence I name this type of tetration:
Nixon-Banach-Lambert-Raes tetration
Or in short
NBLR tetration.
More about that soon !
( I need to sleep now )
Not trying to steal too much credit by adding my name I hope.
This is mainly James Nixon’s result ofcourse.
Although I must add it might influence questions about my sinh method.
See also the comment I made in his thread.
I started a new title because I wanted to highlight this wonderful result and my little contribution by noting the Lambert W connection.
The naming ( NBLR ) is in order of importance.
Regards
Tom Marcel Raes
