Erf

Erf[z]

gives the error function .

Erf[z0,z1]

gives the generalized error function .

Details

  • 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.

Examples

open allclose all

Basic Examples  (3)

Evaluate numerically:

In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=

Scope  (6)

Generalizations & Extensions  (3)

Applications  (2)

Properties & Relations  (7)

Possible Issues  (3)

Neat Examples  (1)

See Also

InverseErf  Erfc  Erfi  ExpIntegralE  ExpIntegralEi  FresnelC  FresnelS  NormalDistribution  GaussianMatrix

Tutorials

Introduced in 1988
(1.0)