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PolyLog

PolyLog[n, z]
gives the polylogarithm function Li_n(z).
PolyLog[n, p, z]
gives the Nielsen generalized polylogarithm function S_(n,p)(z).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Li_n(z)=sum_(k=1)^(infty)z^k/k^n.
  • .
  • S_(n-1,1)(z)=Li_n(z).
  • PolyLog[n, z] has a branch cut discontinuity in the complex z plane running from 1 to infty.
  • For certain special arguments, PolyLog automatically evaluates to exact values.
  • PolyLog can be evaluated to arbitrary numerical precision.
  • PolyLog automatically threads over lists.
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