Solving for the
Analytic Piecewise
Extension
of Tetration and the Super-logarithm
©2005 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 was broken into parts because of restrictions on file sizes, but now you can get a complete version all in one file:
But, if you still want the broken-up version, here it is:
- Part 1
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Cover-sheet, Introduction, Background, and Extensions
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- Part 2
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Beginning of Results
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- Part 3
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End of Results, Generalization, and Conclusion
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- Part 4
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Appendix A (Code) and B (Graphs)
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- Part 5
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Appendix C (Data), D (Identities), and References
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