Shifted rectangular quadrature rule approximations to Dawson's integral \(F(x)\)

DOI10.1016/S0377-0427(98)00019-3zbMath0933.65020MaRDI QIDQ1298502

Frank G. Lether

Publication date: 30 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

error boundsSinc approximationexponential seriesDawson's integralexponential series approximationJFM 29.0245.02Maclaurin series expansionrectangular quadrature rule

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

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Uses Software

• Cephes

Cites Work

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• The special functions and their approximations. Vol. I, II
• Non-Coherent Scattering: I. The Redistribution Function with Doppler Broadening
• A Continued Fraction Expansion, with a Truncation Error Estimate, for Dawson's Integral
• Exapansions of Dawson's Function in a Series of Chebyshev Polynomials
• Chebyshev Approximations for Dawson's Integral
• Uniform Computation of the Error Function and Other Related Functions
• Formulas for Calculating the Error Function of a Complex Variable