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${\displaystyle \mathrm {slog} (z)=\sum _{n=0}^{\infty }c_{n}(z-1)^{n}}$.

The coefficients can be approximated with

${\displaystyle c_{0}\approx -1.00000000000000}$

${\displaystyle c_{1}\approx 0.91594605649953}$

${\displaystyle c_{2}\approx -0.20861842957759}$

${\displaystyle c_{3}\approx -0.05450400630209}$

${\displaystyle c_{4}\approx 0.07134941925273}$

${\displaystyle c_{5}\approx -0.02004387374438}$

${\displaystyle c_{6}\approx -0.01101258023037}$

${\displaystyle c_{7}\approx 0.01207268318645}$

${\displaystyle c_{8}\approx -0.00272922880760}$

${\displaystyle c_{9}\approx -0.00269905319156}$

${\displaystyle c_{10}\approx 0.00243941500632}$

${\displaystyle c_{11}\approx -0.00036220360858}$

${\displaystyle c_{12}\approx -0.00070125921262}$

${\displaystyle c_{13}\approx 0.00052782155380}$

${\displaystyle c_{14}\approx -0.00002987943551}$

${\displaystyle c_{15}\approx -0.00018614540434}$

${\displaystyle c_{16}\approx 0.00011722843042}$

LInes of the constant real part and the constant imahinary part are drawn.

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