tables of coefficients
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21: Bibliography R
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Tables of the integrals and differential coefficients of and
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Quart. J. Mech. Appl. Math. 7 (3), pp. 379–384.
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22: 29.15 Fourier Series and Chebyshev Series
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§29.15(i) Fourier Coefficients
… ►A convenient way of constructing the coefficients, together with the eigenvalues, is as follows. … ►
29.15.9
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►This determines the polynomial of degree for which ; compare Table 29.12.1.
The set of coefficients of this polynomial (without normalization) can also be found directly as an eigenvector of an tridiagonal matrix; see Arscott and Khabaza (1962).
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23: Bibliography K
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Pascal program for generating tables of Clebsch-Gordan coefficients.
Comput. Phys. Comm. 85 (1), pp. 82–88.
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24: Bibliography
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Numerical Tables for Angular Correlation Computations in -, - and -Spectroscopy: -, -, -Symbols, F- and -Coefficients.
Landolt-Börnstein Numerical Data and Functional Relationships
in Science and Technology, Springer-Verlag.
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25: 10.20 Uniform Asymptotic Expansions for Large Order
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►Note: Another way of arranging the above formulas for the coefficients
, and would be by analogy with (12.10.42) and (12.10.46).
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►For (10.20.14) and further information on the coefficients see Temme (1997).
►For numerical tables of , and , , , and see Olver (1962, pp. 28–42).
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►For resurgence properties of the coefficients (§2.7(ii)) see Howls and Olde Daalhuis (1999).
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26: Errata
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Table 18.9.1
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The coefficient for in the first row of this table originally omitted the parentheses and was given as , instead of .
⋮ |
Reported 2010-09-16 by Kendall Atkinson.
27: 10.41 Asymptotic Expansions for Large Order
28: 3.10 Continued Fractions
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►For several special functions the -fractions are known explicitly, but in any case the coefficients
can always be calculated from the power-series coefficients by means of the quotient-difference algorithm; see Table 3.10.1.
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29: 10.21 Zeros
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►For numerical coefficients for see Olver (1951, Tables 3–6).
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►The latter reference includes numerical tables of the first few coefficients in the uniform asymptotic expansions.
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30: 18.20 Hahn Class: Explicit Representations
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18.20.1
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