f43fc15e-c7a6-42cf-ae6b-e8f509ca795f 3 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Polylogarithm [Jonquière function]

x p 12 / 1 x - ln * - :

x z1 1 x - ln :

x z1 Re i x z1 Im * - conjugate of -> ≡ x z1 ≡

x q 12 / x z1 Re i x z1 Im * - (* - :

x polylog x p x q + :

Plolylog elements

x q x polylog x 1 ≥ cases 2 1 sys

Plolylog(x), complete plot

x polylog 1 10 1 10 - 2 2 mat 2 1 sys

set integral accuracy 10000

sanity 1 x polylog x 1.0000000001 2 int 1.025328

sanity 1 x polylog x 0 0.9999999999 int 1.025328