The Radius of Univalence of the Error Function by Erwin Kreyszig and John Todd
نویسندگان
چکیده
(x/2)'» = 1.25 • • , [Rogozin, 2], the largest positive root R, of x —arctan x — w, where x — (£R —1); i? = 1.51 • • • , [Reade, 3] . These bounds were obtained by different, rather general methods. Our methods are based on special properties of erf 0, and were suggested by a detailed study of actual numerical values of erf z, which were computed on the IBM 704 at the National Bureau of Standards by E. Brauer and J. C. Gager.
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