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period of exp exp exp ... - Printable Version

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period of exp exp exp ... - tommy1729 - 08/17/2010

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.