PolyLog

PolyLog[n,z]

gives the polylogarithm function .

PolyLog[n,p,z]

gives the Nielsen generalized polylogarithm function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • .
  • .
  • .
  • PolyLog[n,z] has a branch cut discontinuity in the complex plane running from 1 to .
  • For certain special arguments, PolyLog automatically evaluates to exact values.
  • PolyLog can be evaluated to arbitrary numerical precision.
  • PolyLog automatically threads over lists.

Examples

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Basic Examples  (3)

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Scope  (7)

Generalizations & Extensions  (7)

Applications  (4)

Properties & Relations  (6)

Possible Issues  (1)

See Also

Zeta  PolyGamma  LerchPhi

Tutorials

Introduced in 1988
(1.0)
| Updated in 1999
(4.0)