Iteration basics
#18
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 \( f^x(x) \) being mentioned somewhere, but never \( f^{Im(x)}(Re(x)) \), 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):

\( f^{Re(x)}(Im(x)) \),

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


Messages In This Thread
Iteration basics - by Ivars - 03/20/2008, 10:34 AM
RE: Iteration basics - by Ivars - 03/20/2008, 05:24 PM
RE: Iteration basics - by Gottfried - 03/21/2008, 08:37 AM
RE: Iteration basics - by Ivars - 04/03/2008, 08:05 AM
RE: Iteration basics - by Gottfried - 04/03/2008, 08:19 AM
RE: Iteration basics - by Ivars - 04/03/2008, 10:13 AM
RE: Iteration basics - by andydude - 04/05/2008, 11:35 PM
RE: Iteration basics - by Gottfried - 04/06/2008, 07:16 AM
RE: Iteration basics - by Ivars - 04/06/2008, 08:55 AM
RE: Iteration basics - by andydude - 04/07/2008, 12:01 AM
RE: Iteration basics - by Ivars - 04/20/2008, 10:15 PM
RE: Iteration basics - by bo198214 - 04/21/2008, 08:21 PM
RE: Iteration basics - by andydude - 04/22/2008, 05:30 AM
RE: Iteration basics - by Ivars - 04/22/2008, 07:02 AM
RE: Iteration basics - by Ivars - 04/09/2008, 07:56 PM
RE: Iteration basics - by Ivars - 05/09/2008, 09:45 AM
RE: Iteration basics - by bo198214 - 05/09/2008, 02:49 PM
RE: Iteration basics - by Ivars - 05/27/2008, 10:33 AM
RE: Iteration basics - by Gottfried - 05/27/2008, 07:35 PM
RE: Iteration basics - by Ivars - 05/30/2008, 06:08 AM
RE: Iteration basics - by Xorter - 01/02/2017, 05:21 PM

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