The inverse of the error function
L. Carlitz · Pacific Journal of Mathematics · 1963
CARLITZ 1. Introduction.In a recent paper [3] J. R. Philip has discussed some properties of the function inverfc θ defined by means of {1.1) θ = erfc (inverfc θ) .Since (1.2) iπ ll2 (l -erfc a?) = <* --+ ---+ -... V ; 3 2!5 3!7 4!9 it follows that (1.3) inverfc θ = u + -^3 +u 5 + i?I^7 + 4369 u 9 + , V ;