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On avoiding the singularity in the numerical integration of proper integrals. (English) Zbl 0413.65015


MSC:

65D32 Numerical quadrature and cubature formulas
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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References:

[1] A. R. Curtis and P. Rabinowitz,On the Gaussian integration of Chebyshev polynomials, Math. Comp. 26 (1972), 207–211. · Zbl 0261.65019 · doi:10.1090/S0025-5718-1972-0298934-5
[2] P. J. Davis and P. Rabinowitz,Methods of numerical integration, Academic Press, New York, 1975. · Zbl 0304.65016
[3] I. S. Gradshteyn and I. M. Ryzhik,Tables of integrals, series and products, Academic Press, New York, 1965. · Zbl 0521.33001
[4] J. N. Lyness and B. W. Ninham,Asymptotic expansions and numerical quadrature, Math. Comp. 21 (1967), 162–178. · Zbl 0178.18402 · doi:10.1090/S0025-5718-1967-0225488-X
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