05/23/2010, 12:05 AM

Has anyone generated the base e tetration from an alternative fixed point? The second fixed point (as far as I can tell) for base e is 2.0622777296+i*7.5886311785

It seems like one could develop a complex plane super function from this alternative fixed point. And from the complex plane super function, one could use one of the methods (Riemann mapping or the Cauchy method) to turn this complex super function into a real valued function with f(0)=1, and with singularities at f(-2), f(-3), etc. This would be a different tetration solution, but it would be analytic. Just curious if anyone had tried this.

- Shel

It seems like one could develop a complex plane super function from this alternative fixed point. And from the complex plane super function, one could use one of the methods (Riemann mapping or the Cauchy method) to turn this complex super function into a real valued function with f(0)=1, and with singularities at f(-2), f(-3), etc. This would be a different tetration solution, but it would be analytic. Just curious if anyone had tried this.

- Shel