08/17/2010, 11:31 PM
let exp exp exp ... (z) diverge on the riemann sphere.
then it must enter a cycle.
for every such z , exp(z) = exp^^y (z) for some positive real y.
y is now a function of e^z.
f(e^z) = y.
find/investigate f(e^z).
since z is complex and y is positive real , f(e^z) is not analytic.
regards
tommy1729
then it must enter a cycle.
for every such z , exp(z) = exp^^y (z) for some positive real y.
y is now a function of e^z.
f(e^z) = y.
find/investigate f(e^z).
since z is complex and y is positive real , f(e^z) is not analytic.
regards
tommy1729