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Mathematica > Error and Exponential Integral Functions >

Erf

Erf[z]
gives the error function erf(z).
Erf[z0, z1]
gives the generalized error function erf(z_1)-erf(z_0).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Erf[z] is the integral of the Gaussian distribution, given by .
  • Erf[z0, z1] is given by .
  • Erf[z] is an entire function of z with no branch cut discontinuities.
  • For certain special arguments, Erf automatically evaluates to exact values.
  • Erf can be evaluated to arbitrary numerical precision.
  • Erf automatically threads over lists.
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