On the calculation of the inverse of the error function

Abstract

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 1 - {10^{ - 300}} in magnitude. A formula which yields ( x ) (x) to at least 22 decimal places for | x | ≦ 5 π / 2 |x| \leqq 5\pi /2 is also developed.