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+--- Thread: question about differential equation for a[4]x (/showthread.php?tid=296)
question about differential equation for a[4]x - Base-Acid Tetration - 05/26/2009
\( (\operatorname{sexp}_a(x))' = \operatorname{sexp}'_a(0) (\ln a)^{x} \exp_a \sum_{n=1}^{\infty} \frac{f^{(n-1)} (0)}{n!} (B_n(x)-B_n)) \)
what is the function f in this differential equation? and how do you prove this as a characteristic of the tetrational?