Let r denote riemann mapping.
r' denotes the functional inverse of r.
Let j be An analytic jordan curve around the origin.
R maps j to the unit circle.
Let r'(1) be the starting point A.
then iterations f^[x](r'(1)) with x > 0 ( real ) are periodic and analytic iff
F(z) = r' ( T ( r) ).
Where T is a complex number on the unit circle.
I think this is correct.
This seems to suggest exp has no periodIC iterational Jordan curve away from its fixpoints.
Regards
Tommy1729
r' denotes the functional inverse of r.
Let j be An analytic jordan curve around the origin.
R maps j to the unit circle.
Let r'(1) be the starting point A.
then iterations f^[x](r'(1)) with x > 0 ( real ) are periodic and analytic iff
F(z) = r' ( T ( r) ).
Where T is a complex number on the unit circle.
I think this is correct.
This seems to suggest exp has no periodIC iterational Jordan curve away from its fixpoints.
Regards
Tommy1729