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Table of the zeros and weight factors of the first fifteen Laguerre polynomials


Authors: Herbert E. Salzer and Ruth Zucker
Journal: Bull. Amer. Math. Soc. 55 (1949), 1004-1012
DOI: https://doi.org/10.1090/S0002-9904-1949-09327-8
MathSciNet review: 0032191
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  • 1. J. A. Shohat, A bibliography on orthogonal polynomials, Bulletin of the National Research Council, no. 103, 1940. Lists over 2000 articles, books, and theses, by 643 authors, on the subject of orthogonal polynomials. The topical index has a special section on Laguerre polynomials, where more than 250 references are given.
  • 2. Department of Scientific Research and Experiment, Admiralty Computing Service, Zeros of Laguerre polynomials and the corresponding Christoffel numbers, June, 1945.
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  • 8. E. Moecklin, Asymptotische Entwicklungen der Laguerreschen Polynome, Comment. Math. Helv. vol. 7 (1934) pp. 24-46. MR 1509498
  • 9. F. Tricomi, Generalizzazione di una formula asintotica sui polinomi di Laguerre e sue applicazioni, Atti Accad. Sci. Torino vol. 76 (1941) pp. 288-316. MR 15909
  • 10. E. C. Kemble, The fundamental principles of quantum mechanics, McGraw-Hill, 1937, pp. 160, 585-587.
  • 11. J. Cossar and A. Erdélyi, Dictionary of Laplace transforms, Part 2B (issued by Dept. of Scientific Research and Experiment, Admiralty Computing Service), pp. 84-85.
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  • 13. R. Courant and D. Hubert, Methoden der mathematischen Physik, vol. I, Berlin, Springer, 1931, pp. 79-80, 284-285, 294-296, 324-326, 440-441. (Reprinted by Interscience Publishers, 1943.)
  • 14. N. Košliakov, The calculation by a formula of mechanical quadrature of definite integrals with infinite limits (Russian), Bull. Acad. Sci. URSS. (7) (1933) pp. 801-808.


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1949-09327-8

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