Fundamental Principles of Tetration

[tommy1729]

I have been quite active lately.

This is another C^oo solution for tetration ( super in base e ).

- again the question " analytic ? " -

http://math.eretrandre.org/tetrationforu...p?tid=1028

Also a related open question on MSE copied from here by my friend mick.

http://math.stackexchange.com/questions/...l-equation

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The continuum sum / product got alot of attention here too.
In particular from mike3.

I wrote about parabolic fixpoints and its limit formula's.

In general 99% of limit questions are solved ( excluding matrices , analytic ? ).

See

http://math.eretrandre.org/tetrationforu...hp?tid=951

Another thing that got popular is the " J - function "

This is not in main , but mentioned occasionally so , therefore

http://math.eretrandre.org/tetrationforu...hp?tid=911

Basically , you can easily find the popular ideas

By looking at

1) open problems section
- incomplete for clarity !! -

2) sorting by votes , replies and views ... But take with a grain of salt , Some are a bit overrated and others underrated ... Its just a statistically logic idea to search like that. Title choices can bias and there are not many votes.

3) keywords in other threads.

You can search the tag " tetration " on MSE to find Some ideas from here.
My student mick , sheldon and gottfried are on MSE too and i dare to say they are a reference in combination with the tag tetration.

An open problem that i discussed with mick is

http://math.stackexchange.com/questions/...-a-n-a-n-1

Myself , mick and sheldon imho tend to have as main keywords

Complex analysis , periodic and limit.

So i guess that is the style of us 3.

I already mentioned fake function theory and my 2sinh in a reply here in this thread.

I have a - very unfinished - google page.

In fact it needs attention.

https://sites.google.com/site/tommy1729/tetration

Im actually a number theorist.

https://sites.google.com/site/tommy1729/...conjecture

And i do not like set theory in Some ways ( ZFC ! ).

See

https://sites.google.com/site/tommy1729/...urable-set

And here

http://math.eretrandre.org/tetrationforu...p?tid=1042

And

http://math.eretrandre.org/tetrationforu...hp?tid=695

Hope this helps.

My apologies for not posting Tex and plots or code alot.
I lack time

Probably gives you An idea of the way i do things and think about them.

Regards

Tommy1729