LogIntegral

LogIntegral[z]

is the logarithmic integral function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The logarithmic integral function is defined by , where the principal value of the integral is taken.
  • LogIntegral[z] has a branch cut discontinuity in the complex z plane running from to .
  • For certain special arguments, LogIntegral automatically evaluates to exact values.
  • LogIntegral can be evaluated to arbitrary numerical precision.
  • LogIntegral automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Series expansion around the branch point at :

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Scope  (7)

Generalizations & Extensions  (1)

Applications  (4)

Properties & Relations  (5)

Possible Issues  (1)

Neat Examples  (2)

See Also

ExpIntegralE  RiemannR  PrimePi

Tutorials

Introduced in 1988
(1.0)