Tables of zeros and Gaussian weights of certain associated Laguerre polynomials and the related generalized Hermite polynomials
HTML articles powered by AMS MathViewer
- by T. S. Shao, T. C. Chen and R. M. Frank PDF
- Math. Comp. 18 (1964), 598-616 Request permission
Erratum: Math. Comp. 26 (1972), 813.
References
- T. C. Chen, “Polynomial orthogonality and integration quadratures,” Rev. Mod. Phys., v. 35, 1963, p. 569-570.
- 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 E. U. Condon & G. H. Shortley, The Theory of Atomic Spectra, University Press, Cambridge, 1953, p. 115. H. T. Davis, “Review of ’Tables of Probability Functions’,” MTAC, v. 1, 1943, p. 50. A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, McGraw-Hill, New York, 1953, Chapter X.
- F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. MR 0075670
- D. J. Hofsommer, Note on the computation of the zeros of functions satisfying a second order differential equation, Math. Tables Aids Comput. 12 (1958), 58–60. MR 99752, DOI 10.1090/S0025-5718-1958-0099752-6
- Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774
- Modern computing methods, Notes on Applied Science, No. 16, Her Majesty’s Stationery Office, London, 1961. 2nd ed; National Physical Laboratory. MR 0117863
- 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, Approximate integration formulas for certain spherically symmetric regions, Math. Comp. 17 (1963), 105–135. MR 161473, DOI 10.1090/S0025-5718-1963-0161473-0 G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., v. 23, Amer. Math. Soc., Providence, R. I., 1959.
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Math. Comp. 18 (1964), 598-616
- MSC: Primary 65.05; Secondary 33.40
- DOI: https://doi.org/10.1090/S0025-5718-1964-0166397-1
- MathSciNet review: 0166397