Tetration: an iterative approach

Published 14 Oct 2014 in math-ph and math.MP | (1410.3896v1)

Abstract: 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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R. Aldrovandi

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