Error function
Plot of the error function
From Wikipedia, the free encyclopedia
In mathematics, the
error function
(also called the
Gauss error function
) is a special function
(non-elementary) which occurs in probability,
statistics, materials science, and partial differential
equations. It is defined as:
The
complementary error function
, denoted
erfc
,
is defined in terms of the error function:
The
complex error function
, denoted
w
(
x
), (also known as the Faddeeva function) is also defined in terms of the error
function:
Contents
1 Properties
1.1 Taylor series
1.2 Inverse function
2 Applications
2.1 Asymptotic expansion
2.2 Approximation with elementary functions
3 Related functions
3.1 Generalised error functions
3.2 Iterated integrals of the complementary error function
4 Implementation
5 Table of values
6 See also
7 References
8 External links
Properties
Error function - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Error_function
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2/2/2009 11:08 PM

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