Uniform Computation of the Error Function and Other Related Functions

DOI10.2307/2004930zbMath0218.33002OpenAlexW4235000700MaRDI QIDQ5622548

Alex Reichel, F. Matta

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2004930

Mathematics Subject Classification ID

Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

The evaluation of Legendre functions of the second kind, Constrained near-minimax rational approximations to Dawson's integral, Various results for series expansions of the error functions with the complex variable and some of their implications, A rational approximation of the Dawson's integral for efficient computation of the complex error function, Optimal lower and upper bounds for the geometric convex combination of the error function, An algorithm for the numerical computation of the Voigt function, The numerical solution of non-linear partial differential equations by the method of lines, The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\), Computing Fresnel integrals via modified trapezium rules, Computation of the Complex Error Function Using Modified Trapezoidal Rules, A Note on the Evaluation of the Complementary Error Function, The evaluation of Cauchy principal value integrals involving unknown poles, A maximum-likelihood estimator with infinite error, Shifted rectangular quadrature rule approximations to Dawson's integral \(F(x)\)

Cites Work

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• The special functions and their approximations. Vol. I, II
• On the Evaluation of Integrals Related to the Error Function
• Formulas for Calculating the Error Function of a Complex Variable