Error Function Mathematica

For certain special arguments erf automatically evaluates to exact values.

Error function mathematica.

299 where is a confluent hypergeometric function of the first kind and is a gamma function. Erf is implemented in the wolfram language as erf z a two argument form giving is also implemented as erf z0 z1. Erf z is the integral of the gaussian distribution given by. Erf satisfies the identities.

0 i for large arguments. Revolutionary knowledge based programming language. Abramowitz and stegun 1972 p. Mathematical function suitable for both symbolic and numerical manipulation.

Erf z 0 z 1 is given by. 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 an entire function of z with no branch cut discontinuities.

I tried playing with setsystemoptions catchmachineunderflow false which however results in getting 0. The first few values extended by the definition for and 0 are given by. The preeminent environment for any technical workflows.