Constrained near-minimax rational approximations to Dawson's integral

DOI10.1016/S0096-3003(96)00330-XzbMath0905.65037MaRDI QIDQ1126680

Frank G. Lether

Publication date: 8 October 1998

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

zbMATH Keywords

Dawson's integralnear-minimax rational approximation

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 (4)

An exponential Chebyshev second kind approximation for solving high-order ordinary differential equations in unbounded domains, with application to Dawson's integral ⋮ Efficient multiple-precision computation of the scaled complementary error function and the Dawson integral ⋮ Gaussian dispersion analysis in the time domain: efficient conversion with Padé approximants ⋮ Evaluating of Dawson's integral by solving its differential equation using orthogonal rational Chebyshev functions

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
• The Lawson Algorithm and Extensions
• 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

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