metric coefficients
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11: 29.21 Tables
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Arscott and Khabaza (1962) tabulates the coefficients of the polynomials in Table 29.12.1 (normalized so that the numerically largest coefficient is unity, i.e. monic polynomials), and the corresponding eigenvalues for , . Equations from §29.6 can be used to transform to the normalization adopted in this chapter. Precision is 6S.
12: 34.1 Special Notation
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►An often used alternative to the symbol is the Clebsch–Gordan coefficient
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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).
13: 28.19 Expansions in Series of Functions
14: 26.16 Multiset Permutations
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►The number of elements in is the multinomial coefficient (§26.4) .
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►Thus , and
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-multinomial coefficient is defined in terms of Gaussian polynomials (§26.9(ii)) by
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26.16.1
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26.16.2
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15: 33.8 Continued Fractions
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33.8.2
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16: 24.6 Explicit Formulas
17: 20.6 Power Series
18: 2.9 Difference Equations
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►Often and can be expanded in series
…Formal solutions are
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, and higher coefficients are determined by formal substitution.
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►with and higher coefficients given by (2.9.7) (in the present case the coefficients of and are zero).
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►The coefficients
and constant are again determined by formal substitution, beginning with when , or with when .
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19: 16.24 Physical Applications
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