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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

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
MathSciNet review: 0032191
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References | Additional Information

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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.
  • 3. Anders Reiz, On the numerical solution of certain types of integral equations, Ark. Mat. Astr. Fys. 29A (1943), no. 29, 21. MR 0011801 (6,218h)
  • 4. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939. Includes a large bibliography.
  • 5. Dunham Jackson, Fourier Series and Orthogonal Polynomials, Carus Monograph Series, no. 6, Mathematical Association of America, Oberlin, Ohio, 1941. MR 0005912 (3,230f)
  • 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.
  • 8. E. Moecklin, Asymptotische Entwicklungen der Laguerreschen Polynome, Comment. Math. Helv. 7 (1934), no. 1, 24–46 (German). MR 1509498, http://dx.doi.org/10.1007/BF01292706
  • 9. Francesco Tricomi, Generalizzazione di una formula asintotica sui polinomi di Laguerre e sue applicazioni, Atti Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. 76 (1941), 288–316 (Italian). MR 0015909 (7,486e)
  • 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.
  • 12. Henry Margenau and George Moseley Murphy, The Mathematics of Physics and Chemistry, D. Van Nostrand Co., Inc., New York, 1943. MR 0008244 (4,268a)
  • 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: http://dx.doi.org/10.1090/S0002-9904-1949-09327-8
PII: S 0002-9904(1949)09327-8