Chebyshev approximations for Dawson’s integral

Authors:
W. J. Cody, Kathleen A. Paciorek and Henry C. Thacher

Journal:
Math. Comp. **24** (1970), 171-178

MSC:
Primary 65.20

DOI:
https://doi.org/10.1090/S0025-5718-1970-0258236-8

MathSciNet review:
0258236

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Abstract | References | Similar Articles | Additional Information

Abstract: Rational Chebyshev approximations to Dawson’s integral are presented in well-conditioned forms for $|x| \leqq 2.5, 2.5 \leqq |x| \leqq 3.5, 3.5 \leqq |x| \leqq 5.0$ and $5.0 \leqq |x|$. Maximal relative errors range down to between $2 \times {10^{ - 20}}$ and $7 \times {10^{ - 22}}$.

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Additional Information

Keywords:
Rational Chebyshev approximations,
Dawson’s integral,
complex error function

Article copyright:
© Copyright 1970
American Mathematical Society