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Numerical integration over a semi-infinite interval, using the lognormal distribution. (English) Zbl 0421.65006

MSC:

65D32 Numerical quadrature and cubature formulas
41A55 Approximate quadratures
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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References:

[1] Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions. New York: Dover 1965 · Zbl 0171.38503
[2] Davis, P.J., Rabinowitz, P.: Numerical integration. Blaisdell 1967
[3] Grant, J.A., Hitchins, G.D.: Two algorithms for the solution of polynomial equations to limiting machine precision. Comput. J.18, 258-264 (1975) · Zbl 0305.65019 · doi:10.1093/comjnl/18.3.258
[4] Harper, W.M.: Quadrature formulas for infinite integrals. Math. Comput.16, 170-175 (1962) · Zbl 0171.37203 · doi:10.1090/S0025-5718-1962-0145656-0
[5] Morse, P.M., Feshbach, H.: Methods of theoretical physics. Part I. New York: McGraw Hill 1953 · Zbl 0051.40603
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