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References
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Mathematical Tables Project, Work Projects Administration, Tables of Lagrangian Interpolation Coefficients, Columbia Univ. Press, New York, 1944.
- Survey of numerical analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1962. MR 0135221
- Philip Rabinowitz and George Weiss, Tables of abcissas and weights for numerical evaluation of integrals of the form $\int _{0}^{\infty }\,e^{-x}x^{n}f(x)\,dx$, Math. Tables Aids Comput. 13 (1959), 285–294. MR 107992, DOI 10.1090/S0025-5718-1959-0107992-3
- A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312
- H. Tompa, Gaussian numerical integration of a function depending on a parameter, Comput. J. 10 (1967), 204–205. MR 214287, DOI 10.1093/comjnl/10.2.204
- A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312
- Philip Rabinowitz and George Weiss, Tables of abcissas and weights for numerical evaluation of integrals of the form $\int _{0}^{\infty }\,e^{-x}x^{n}f(x)\,dx$, Math. Tables Aids Comput. 13 (1959), 285–294. MR 107992, DOI 10.1090/S0025-5718-1959-0107992-3 V. S. Aizenshtat, V. I. Krylov & A. S. Metleskiĭ, Tablitsy dlia chislennogo preobrazovaniia Laplasa $i$ vychisleniia integralov vida ${\smallint _0}^\infty {x^8}{e^{ - x}}f(x)dx$ (Tables for Calculating Laplace Transforms and Integrals of the form ${\smallint _0}^\infty {x^8}{e^{ - x}}f(x)dx$, Izdat. Akad. Nauk SSSR, Minsk, 1962. (See Math. Comp., v. 17, 1963, p. 93, RMT 9.)
- P. Concus, D. Cassatt, G. Jaehnig, and E. Melby, Tables for the evaluation of $\int _{0}^{\infty } x^{\beta }e^{-x}f(x)dx$ by Gauss-Laguerre quadrature, Math. Comp. 17 (1963), 245–256. MR 158534, DOI 10.1090/S0025-5718-1963-0158534-9 P. Concus, Additional Tables for the Evaluation of ${\smallint _0}^\infty {x^\beta }{e^{ - x}}f(x)dx$ by Gauss-Laguerre Quadrature, ms. in UMT file. (See Math. Comp., v. 18, 1964, p. 523, RMT 81.)
- T. S. Shao, T. C. Chen, and R. M. Frank, Tables of zeros and Gaussian weights of certain associated Laguerre polynomials and the related generalized Hermite polynomials, Math. Comp. 18 (1964), 598–616. MR 166397, DOI 10.1090/S0025-5718-1964-0166397-1 Paul Concus & Donald R. Olander, Transient Diffusion in a Composite Slab, Lawrence Radiation Laboratory Report UCRL-17606, June 1967. A. Weinstein, Etude des spectres des équations aux derivées partielles, Mémorial des Sciences Mathématiques, No. 88, Paris, 1937.
- N. Aronszajn, Approximation methods for eigenvalues of completely continuous symmetric operators, Proceedings of the Symposium on Spectral Theory and Differential Problems, Oklahoma Agricultural and Mechanical College, Stillwater, Okla., 1951, pp. 179–202. MR 0044736
- Norman W. Bazley, Lower bounds for eigenvalues, J. Math. Mech. 10 (1961), 289–307. MR 0128612
- Karl Klotter and Gertrud Kotowski, Über die Stabilität der Lösungen Hillscher Differentialgleichungen mit drei unabhängigen Parametern. I. Über die Gleichung $y''+(\lambda +\gamma _1\cos x+\gamma _2\cos 2x)y=0$, Z. Angew. Math. Mech. 23 (1943), 149–155 (German). MR 9790, DOI 10.1002/zamm.19430230304 NBSCL, Tables Relating to Mathieu Functions, Columbia University Press, New York, 1951. (See MTAC, v. 6, 1952, pp. 29–30, RMT 952.)
- Gertrude Blanch and Ida Rhodes, Table of characteristic values of Mathieu’s equation for large values of the parameter, J. Washington Acad. Sci. 45 (1955), 166–196. MR 71144
- Albert Eagle, The elliptic functions as they should be: an account, with applications, of the functions in a new canonical form, Galloway and Porter, Ltd., Cambridge, England, 1958. MR 0093599
- Samuel P. Morgan, Tables of Bessel Functions of Imaginary Order and Imaginary Argument, California Institute of Technology Bookstore, Pasadena 4, Calif., 1947. MR 0023120 S. Luke & S. Weissman, Bessel Functions of Imaginary Order and Imaginary Argument, University of Maryland, Institute for Molecular Physics, Report DA-ARO(D)-31-124-G466 No. 1, College Park, Md., 1964. (See Math. Comp., v. 19, 1965, pp. 343–344, RMT 50.)
- William Feller, An Introduction to Probability Theory and Its Applications. Vol. I, John Wiley & Sons, Inc., New York, N.Y., 1950. MR 0038583
- Frieda S. Swed and C. Eisenhart, Tables for testing randomness of grouping in a sequence of alternatives, Ann. Math. Statistics 14 (1943), 66–87. MR 7970, DOI 10.1214/aoms/1177731494 P. D. Argentiero & R. H. Tolson, Some Nonparametric Tests for Randomness in Sequences, NASA Technical Note D-3766, December 1966.
- A. Wald and J. Wolfowitz, On a test whether two samples are from the same population, Ann. Math. Statistics 11 (1940), 147–162. MR 2083, DOI 10.1214/aoms/1177731909
- T. W. Anderson, An introduction to multivariate statistical analysis, Wiley Publications in Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0091588
- Martin Schatzoff, Exact distributions of Wilks’s likelihood ratio criterion, Biometrika 53 (1966), 347–358. MR 212947, DOI 10.1093/biomet/53.3-4.347
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Math. Comp. 22 (1968), 455-471
- DOI: https://doi.org/10.1090/S0025-5718-68-99869-4