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Tetration of complex bases to complex towers
#6
(11/03/2009, 08:52 AM)mike3 Wrote: ... the kidneybean ...

lol, I call it the Shell-Thron region, or "the shell" for short, which oddly enough describes both the author and the shape. Smile

So how about the base . The intuitive/natural Abel function of exponentials associated with this base is:

when expanded at 0. It seems to be fairly close to being real-valued for arguments around 0 to 1.

I have attached 2 plots, the critical function above, and the piecewise extension to all R. Blue is the real part and red is imaginary part.

Andrew Robbins


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RE: Tetration of complex bases to complex towers - by andydude - 11/04/2009, 03:01 AM

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