On the Calculation of the Inverse of the Error Function

Anthony J. Strecok
1968 Mathematics of Computation  
Formulas are given for computing the inverse of the error function to at least 18 significant decimal digits for all possible arguments up to 1-10-300 in magnitude. A formula which yields erf (x) to at least 22 decimal places for |x| g hv/2 is also developed.
doi:10.2307/2004772 fatcat:johsrbw6jngilku23i35erzmu4