2.86295 + 3.22327 i

[tommy1729]

thank you for the links Gottfried.

As for the rays, using log(log(...log(z)...))) = z probably gives a different dimension , subset or set of rays then the exp counterpart.

I assume using the logs gives the smallest solutions. That would make sense to me.

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As for the MSE probably using something that does not have nasty inverses ( unlike like newton method ) is recommended.
steffenson maybe ?

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many things can be said about these methods but im still organizing my thoughts.

the absolute value of the derivative of exp^[t](z) or z^^t for instance is a major thing.

assume z is a cyclic point , is the absolute value of the derivative of exp^[t](z) or z^^t ever = 1 ??

for exp probably i believe not , but for z^^t ??

Now I assumed t integer , but that leads to questions for noninteger. And intersections of iterates etc etc.



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Btw I know you like number theory.

My friend mick at MSE posted some of my and his ideas in number theory.

What do you think about this one for instance ??

https://math.stackexchange.com/questions...ain-primes

regards

tommy1729

or maybe you like these :

https://math.stackexchange.com/questions...c-pin-righ


https://math.stackexchange.com/questions...p-2np-2n-1

regards

tommy1729