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+--- Thread: Tetration with complex bases (/showthread.php?tid=1813)
Tetration with complex bases - TetrationSheep - 11/13/2025
Seeing as how, for real bases, tetration is usually defined by computing the inverse Abel function (α^-1(x)), and mapping the region above the main line where Im(α^-1(x)) = 0 (also extended in the negative direction, where it would otherwise be complex) to the upper-half plane, I was wondering how this would be done for complex bases. Is complex-based tetration computed by just extrapolating from the coefficients of real tetration, or just by using the inverse Abel function, or a different method entirely?