## Gaussian quadrature of integrands involving the error function

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- by J. P. Vigneron and Ph. Lambin PDF
- Math. Comp.
**35**(1980), 1299-1307 Request permission

## Abstract:

Orthogonal polynomials corresponding to the weight function $1 - {\operatorname {erf}}(x)$ and defined on the positive real axis are constructed. Abscissas and weight factors for the associated Gaussian quadrature are then deduced (up to 12-point formulas). The stability of the algorithm used for this particular computation is discussed. An example is provided to test the efficiency of the new Gaussian rule.## References

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## Additional Information

- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp.
**35**(1980), 1299-1307 - MSC: Primary 65A05; Secondary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1980-0583507-1
- MathSciNet review: 583507