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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Hypergeometric Related  /
Erf

  • Erf[ z ] gives the error function .
  • Erf[ , ] gives the generalized error function .
  • Mathematical function (see Section A.3.10).
  • Erf[ z ] is the integral of the Gaussian distribution, given by .
  • Erf[ , ] is given by .
  • Erf[ z ] is an entire function of z with no branch cut discontinuities.
  • See the Mathematica book: Section 3.2.10.
  • See also: InverseErf, ExpIntegralE, ExpIntegralEi, FresnelC, FresnelS.
  • Related package: Statistics`NormalDistribution`.

    Further Examples

    This is the derivative.

    In[1]:=

    Out[1]=

    This is the indefinite integral.

    In[2]:=

    Out[2]=

    This is a series expansion around .

    In[3]:=

    Out[3]=