Nielsen[i,j, x] denotes Nielsen's polylogarithm.
![[Graphics:Images/index_gr_1.gif]](Images/index_gr_1.gif)
See also: SimplifyPolyLog.
![[Graphics:Images/index_gr_3.gif]](Images/index_gr_3.gif)
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}];
![[Graphics:Images/index_gr_5.gif]](Images/index_gr_5.gif)
Some special values are built in.
![[Graphics:Images/index_gr_7.gif]](Images/index_gr_7.gif)
![[Graphics:Images/index_gr_9.gif]](Images/index_gr_9.gif)
![[Graphics:Images/index_gr_11.gif]](Images/index_gr_11.gif)
![[Graphics:Images/index_gr_13.gif]](Images/index_gr_13.gif)
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