Alternate continuum sum formula?
#5
(12/20/2009, 06:31 AM)Ansus Wrote: It is possible to use this formula and substitute sexp as inverse function operator of slog.

\( \operatorname{slog}_z C=-\int \left( \frac{1}{z (\ln z)^2}\sum_{q=0}^{\operatorname{slog}_z C -1}\frac{1}{D_q \operatorname{sexp}_z(q-1)}\right) dz \)

Then it will be an iterating formula for slog.

But this approach is complicated.

Why would it be so complicated? If we represent our slog as a powerseries, we can apply the Lagrange inversion theorem. Also, what should be the bounds on the integral? And if this is too complicated, is there anything simpler?
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Messages In This Thread
Alternate continuum sum formula? - by mike3 - 12/15/2009, 12:34 PM

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