Rational Chebyshev approximations for the inverse of the error function

Blair, J. M.; Edwards, C. A.; Johnson, J. H.

doi:10.1090/S0025-5718-1976-0421040-7

Rational Chebyshev approximations for the inverse of the error function
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by J. M. Blair, C. A. Edwards and J. H. Johnson PDF

Math. Comp. 30 (1976), 827-830 Request permission

Abstract:

This report presents near-minimax rational approximations for the inverse of the error function inverf x, for $0 \leqslant x \leqslant 1 - {10^{ - 10000}}$, with relative errors ranging down to ${10^{ - 23}}$. An asymptotic formula for the region $x \to 1$ is also given.

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REMES

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