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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Table of the zeros and weight factors of the first fifteen Laguerre polynomials
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by Herbert E. Salzer and Ruth Zucker PDF
Bull. Amer. Math. Soc. 55 (1949), 1004-1012
References
    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.
  • Anders Reiz, On the numerical solution of certain types of integral equations, Ark. Mat. Astr. Fys. 29A (1943), no. 29, 21. MR 0011801
    • 4. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939. Includes a large bibliography.
  • Dunham Jackson, Fourier Series and Orthogonal Polynomials, Carus Monograph Series, no. 6, Mathematical Association of America, Oberlin, Ohio, 1941. MR 0005912, DOI 10.5948/UPO9781614440062
    • 6. J. Deruyts, Sur le calcul approché de certaines intégrales définies, Bulletins de l’Académie Royale de Belgique (3) vol. 11 (1886) pp. 307-311. 7. W. Hahn, Bericht über die Nullstellen der Laguerreschen und der Hermiteschen Polynome, Jber. Deutschen Math. Verein. vol. 44 (1934) pp. 215-236. An elaborate bibliography is included in this paper.
  • E. Moecklin, Asymptotische Entwicklungen der Laguerreschen Polynome, Comment. Math. Helv. 7 (1934), no. 1, 24–46 (German). MR 1509498, DOI 10.1007/BF01292706
  • Francesco Tricomi, Generalizzazione di una formula asintotica sui polinomi di Laguerre e sue applicazioni, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 76 (1941), 288–316 (Italian). 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.
  • Henry Margenau and George Moseley Murphy, The Mathematics of Physics and Chemistry, D. Van Nostrand Co., Inc., New York, 1943. MR 0008244
    • 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
  • Journal: Bull. Amer. Math. Soc. 55 (1949), 1004-1012
  • DOI: https://doi.org/10.1090/S0002-9904-1949-09327-8
  • MathSciNet review: 0032191