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Salzer, Herbert E.; Zucker, Ruth

Table of the zeros and weight factors of the first fifteen Laguerre polynomials. (English) Zbl 0034.19102

Bull. Am. Math. Soc. 55, 1004-1012 (1949).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 7 Documents

Keywords:

Special orthogonal functions
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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. · Zbl 0025.04103
[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. · Zbl 0028.36501
[4] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939. Includes a large bibliography. · JFM 65.0278.03
[5] Dunham Jackson, Fourier Series and Orthogonal Polynomials, Carus Monograph Series, no. 6, Mathematical Association of America, Oberlin, Ohio, 1941. · Zbl 0060.16910
[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. · JFM 18.0267.01
[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. · Zbl 0010.30101
[8] E. Moecklin, Asymptotische Entwicklungen der Laguerreschen Polynome, Comment. Math. Helv. 7 (1934), no. 1, 24 – 46 (German). · Zbl 0010.02303 · doi: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). · Zbl 0025.40102
[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. · Zbl 0063.03791
[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.
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