Erf satisfies the identities.
Error function mathematica.
Erf is implemented in the wolfram language as erf z a two argument form giving is also implemented as erf z0 z1.
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.
For certain special arguments erf automatically evaluates to exact values.
Revolutionary knowledge based programming language.
0 i for large arguments.
Erf z is an entire function of z with no branch cut discontinuities.
341 define without the leading factor of.
299 where is a confluent hypergeometric function of the first kind and is a gamma function.
The first few values extended by the definition for and 0 are given by.
Mathematical function suitable for both symbolic and numerical manipulation.
Erf z 0 z 1 is given by.
Abramowitz and stegun 1972 p.
Revolutionary knowledge based programming language.
As of version 12 errorlistplot has been superseded by listplot.