01/07/2020, 03:55 PM
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Moving between Abel's and Schroeder's Functional Equations

01/16/2020, 10:08 PM
(This post was last modified: 01/17/2020, 04:09 PM by sheldonison.)
(01/07/2020, 03:55 PM)Daniel Wrote: Check out Moving between Abel's and Schroeder's Functional Equations Hey Daniel, what if Then Schroeder's equation , but is complex. Personally I think I prefer instead of for the complex valued Abel function. There is a pair of complex valued Abel functions for the two complex conjugate fixed points, and there is a singularity at Anyway, Kneser's tetration uses a Riemann mapping of , wrapping the real axis around a unit circle to eventually get to where there are two 1cyclic theta(z) functions where k is a constant as Im(z) gets arbitrarily large, and Kneser's slog or the inverse of Tetration would be tau^{1}(z) is also a z+1cyclic function used to generate Tet(z) from the inverse of the complex valued Abel function. https://math.eretrandre.org/tetrationfor...hp?tid=213 https://math.stackexchange.com/questions...55#2308955
 Sheldon

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