An algorithm for the numerical computation of the Voigt function

DOI10.1016/0096-3003(90)90047-7zbMath0702.65020OpenAlexW2089520558MaRDI QIDQ915354

Frank G. Lether, Paul R. Wenston

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90047-7

zbMATH Keywords

Voigt functionmeromorphic functioncomparisonscomplex error functioncorrected trapezoidal rule

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (1)

VOIGTL -- a fast subroutine for Voigt function evaluation on vector processors

Cites Work

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• The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\)
• The special functions and their approximations. Vol. I, II
• Numerical Calculation of Certain Definite Integrals by Poisson's Summation Formula
• Uniform Computation of the Error Function and Other Related Functions
• A Note on the Evaluation of the Complementary Error Function

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