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Solving for the Analytic Piecewise Extension of Tetration and the Super-logarithm

by Andrew Robbins

        An overview of previous extensions of tetration is presented. Specific conditions for differentiability and piecewise continuity are shown. This leads to a way of generating approximations of the super-logarithm. These approximations are shown to converge to a function that satisfies two basic properties of extensions of tetration.

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Visited: 2923 times, last updated: 2006-02-15, by: Andrew Robbins, contact: and_j_rob(at)yahoo(dot)com