I just verified numerically that the superlog critical function (originally defined on
) for base
satisfies
for all
.
So it is quite sure that the piecewise defined slog is also analytic.
Congratulation Andrew!
(However once someone has to prove this rigorously and also compute the convergence radius.)
So it is quite sure that the piecewise defined slog is also analytic.
Congratulation Andrew!
(However once someone has to prove this rigorously and also compute the convergence radius.)