Nielsen

Description

Nielsen[i,j, x] denotes Nielsen's polylogarithm.

Options[Nielsen]

See also:  SimplifyPolyLog.

Examples

Nielsen[1, 2, x]

Numerical evaluation is done via N[Nielsen[n_,p_,x_]] := (-1)^(n+p-1)/(n-1)!/p! NIntegrate[Log[1-x t]^p Log[t]^(n-1)/t,{t,0,1}];

N[Nielsen[1, 2,  .45]]

Some special values are built in.

{Nielsen[1, 2, 0], Nielsen[1, 2, -1], Nielsen[1, 2, 1/2], 
      Nielsen[1, 2, 1]}

Nielsen[1, 2, x, PolyLog -> True]

Nielsen[1, 3, x, PolyLog -> True]

Nielsen[3, 1, x, PolyLog -> True]