Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > Error and Exponential Integral Functions > LogIntegral
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LogIntegral

LogIntegral[z]
is the logarithmic integral function .

DetailsDetails

  • 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.
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