Gauss quadrature rules for the evaluation of $2\pi ^{-1/2} \int _0^\infty \exp (-x^2) f(x) dx$
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- by David Galant PDF
- Math. Comp. 23 (1969), 674-674 Request permission
Abstract:
Gauss quadrature rules for evaluating integrals of the form \[ 2{\pi ^{ - 1/2}} - \smallint _0^\infty \exp ( - {x^2})f(x)dx\] have been calculated to ${\text {20S}}$ for one to twenty nodes. The coefficients for the threeterm recurrence relation of the first twenty orthogonal polynomials associated with the weight function exp $( - {x^2})$ on the interval $[0, \infty )$ are also tabulated to $20{\text {S}}$.References
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 674-674
- DOI: https://doi.org/10.1090/S0025-5718-69-99859-7