what if b^^0 is large ?
im not sure if we get the same behaviour.
if b^^0 is large we might reach divergence ?
or are we suppose to restrict b^^0 to the Shell-Thron region or their fixpoints ?
did anyone conjecture or prove bounds on b^^0 ?
i wonder how b = 1.71290 i , b^^0 = 1729 + 1729 i looks like.
the area within the cycles is also of interest.
perhaps not usefull , but i always try to map a cycle to a unit circle and then back again.
this can be done because of the riemann mapping theorem.
then i try to see how fast the iterations cycle on the unit circle ;
i (try to) study the complex angle theta of RIEMANN [superfunction(inversesuper(x_0) + n)] with respect to n.
( and this has the same period 2pi i / ln(ln(L)) ofcourse )
tommy1729
im not sure if we get the same behaviour.
if b^^0 is large we might reach divergence ?
or are we suppose to restrict b^^0 to the Shell-Thron region or their fixpoints ?
did anyone conjecture or prove bounds on b^^0 ?
i wonder how b = 1.71290 i , b^^0 = 1729 + 1729 i looks like.
the area within the cycles is also of interest.
perhaps not usefull , but i always try to map a cycle to a unit circle and then back again.
this can be done because of the riemann mapping theorem.
then i try to see how fast the iterations cycle on the unit circle ;
i (try to) study the complex angle theta of RIEMANN [superfunction(inversesuper(x_0) + n)] with respect to n.
( and this has the same period 2pi i / ln(ln(L)) ofcourse )
tommy1729
