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Error and Exponential Integral Functions
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InverseErf
Erfc
Erfi
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Error and Exponential Integral Functions
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Erf
Erf
[
z
]
gives the error function
.
Erf
[
z
0
,
z
1
]
gives the generalized error function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Erf
[
z
]
is the integral of the Gaussian distribution, given by
.
Erf
[
z
0
,
z
1
]
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
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(3)
Applications
(2)
Properties & Relations
(5)
Possible Issues
(3)
Neat Examples
(1)
SEE ALSO
InverseErf
Erfc
Erfi
ExpIntegralE
ExpIntegralEi
FresnelC
FresnelS
NormalDistribution
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Error and Exponential Integral Functions
Functions Used in Statistics
Mathematical Functions
Special Functions
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