Solving for the
Analytic Piecewise
Extension of Tetration and the Super-logarithm
by Andrew Robbins
Abstract
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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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This paper has been broken into parts because of FreeServer's restrictions on file sizes. To obtain a complete version, email the author at the address at the bottom of the page.
- Part 1
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Cover-sheet, Introduction, Background, and Extensions
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- Part 2
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