PolyLog

PolyLog[n, z] gives the polylogarithm function Li_n(z).

Examples

Polylogarithm values:

PolyLog[2, 1]
(* Pi^2/6 *)

PolyLog[2, -1]
(* -Pi^2/12 *)

Numerical evaluation:

N[PolyLog[3, 1/2]]
(* 0.537214 *)

Dilogarithm (n=2):

PolyLog[2, 1/2] // N
(* 0.582241 *)

Please visit the official Wolfram Language Reference for more details.