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Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*...
#6
I've updated the question in MSE: added some more information (general bases for the exponential) and added the question about the observation, that for bases b < exp(1) we might not find convergence and even for some unknown constant eta not even a set of fixed accumulation-points.

(I'll include that update here later today or tomorrow)
See

http://math.stackexchange.com/questions/...xpx-x-cdot

Gottfried Helms, Kassel
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RE: Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*... - by Gottfried - 07/17/2013, 09:46 AM

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