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Tetration: an iterative approach
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🧮 math-ph
math.MP
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approachordertetrationiterationalgorithmicapproximationscomeconsequently
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A matrix approach to continuous iteration is proposed for general formal series. It leads, in particular, to an order{to{order iteration of the exponential function, and consequently to an algorithmic approach to tetration. Lower{order approximations suggest that tetration may come to be of great interest for the description of involved dynamical systems.
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