andydude Wrote:That is a good question, and I think that there is plenty of talk about "complex iteration" but not as much about the function you speak of. I think this function has not beed considered as you put it. I seem to remember being mentioned somewhere, but never , maybe you might find something with this function...

Andrew Robbins

And of course, opposite is possible to look at as well, (though initially I felt that the proper place for imaginary part could be in iteration argument, not function):

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Yes I can ask a question but to study this... - may be only if there are some simple obvious functions or even values to start with.

I can not register right now such. The idea itself just appeared when I was trying to see if we can iterate function faster or slower than function itself works on argument, and does it mean anything, is there a relationship between these various speeds which somehow must be registered outside the iterated function and its arguments?.

Than I thought that if we somewhat limit the choices of relationships between function argument and iteration argument, which complex plane obviously does (and function values that can be Re(x)/Im(x) are limited as well by Euler-Cauchy equations) , it might be easier to look for some relationships. But I have no single example even.

That would then require another thread.

Ivars