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Error function mathematica.
Erf z is an entire function of z with no branch cut discontinuities.
299 where is a confluent hypergeometric function of the first kind and is a gamma function.
Note that some authors e g whittaker and watson 1990 p.
Revolutionary knowledge based programming language.
The first few values extended by the definition for and 0 are given by.
Mathematical function suitable for both symbolic and numerical manipulation.
For certain special arguments erf automatically evaluates to exact values.
Erf z 0 z 1 is given by.
0 i for large arguments.
Abramowitz and stegun 1972 p.
Erf satisfies the identities.
As of version 12 errorlistplot has been superseded by listplot.
Revolutionary knowledge based programming language.
Then i tried defining the function as exp log z 2 log erfc i z but this turns out to not be any faster than with automatic switching so it seems hard to speed this up except as daniel lichtblau suggests acl jul 24 11 at 23 46.
Erf z is the integral of the gaussian distribution given by.