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Rational Chebyshev Approximations for the Error Function

W. J. Cody
Mathematics of Computation
Vol. 23, No. 107 (Jul., 1969), pp. 631-637
DOI: 10.2307/2004390
Stable URL: http://www.jstor.org/stable/2004390
Page Count: 7
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Rational Chebyshev Approximations for the Error Function
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Abstract

This note presents nearly-best rational approximations for the functions $\operatorname{erf} (x)$ and $\operatorname{erfc} (x)$, with maximal relative errors ranging down to between 6 × 10-19 and 3 × 10-20.

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