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21: 33.24 Tables
22: 34.1 Special Notation
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►The main functions treated in this chapter are the Wigner
symbols, respectively,
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►An often used alternative to the
symbol is the Clebsch–Gordan coefficient
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nonnegative integers. | |
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34.1.1
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►For other notations for , ,
symbols, see Edmonds (1974, pp. 52, 97, 104–105) and Varshalovich et al. (1988, §§8.11, 9.10, 10.10).
23: Bibliography I
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The real roots of Bernoulli polynomials.
Ann. Univ. Turku. Ser. A I 37, pp. 1–20.
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Centre for Experimental and Constructive Mathematics, Simon Fraser University, Canada.
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24: 34 3j, 6j, 9j Symbols
Chapter 34 Symbols
…25: 34.8 Approximations for Large Parameters
§34.8 Approximations for Large Parameters
►For large values of the parameters in the , , and symbols, different asymptotic forms are obtained depending on which parameters are large. … ►and the symbol denotes a quantity that tends to zero as the parameters tend to infinity, as in §2.1(i). … ►Uniform approximations in terms of Airy functions for the and symbols are given in Schulten and Gordon (1975b). For approximations for the , , and symbols with error bounds see Flude (1998), Chen et al. (1999), and Watson (1999): these references also cite earlier work.26: Peter Paule
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► 1958 in Ried im Innkreis, Austria) is Professor of Mathematics (successor to Bruno Buchberger), Director of the Research Institute for Symbolic Computation (RISC), and Director of the Doctoral Program on Computational Mathematics at the Johannes Kepler University, Linz, Austria.
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►He is on the editorial boards for the Journal of Symbolic Computation and The Ramanujan Journal, and is Managing Editor of Annals of Combinatorics.
He is also Editor-in-Chief of the Springer book series Texts and Monographs in
Symbolic Computation.
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27: 27.15 Chinese Remainder Theorem
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►Their product has 20 digits, twice the number of digits in the data.
…These numbers, in turn, are combined by the Chinese remainder theorem to obtain the final result , which is correct to 20 digits.
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28: William P. Reinhardt
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►In November 2015, Reinhardt was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 20, 22, and 23.
29: 15.11 Riemann’s Differential Equation
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►The complete set of solutions of (15.11.1) is denoted by Riemann’s -symbol:
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15.11.3
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15.11.4
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►Symbolically:
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15.11.6
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30: Bibliography F
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Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
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Tables of Elliptic Integrals of the First, Second, and Third Kind.
Technical report
Technical Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio.
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The Edmonds asymptotic formulas for the and
symbols.
J. Math. Phys. 39 (7), pp. 3906–3915.
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On weighted polynomial approximation on the whole real axis.
Acta Math. Acad. Sci. Hungar. 20, pp. 223–225.
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