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List of Tables
2: 4.46 Tables
§4.46 Tables►Extensive numerical tables of all the elementary functions for real values of their arguments appear in Abramowitz and Stegun (1964, Chapter 4). This handbook also includes lists of references for earlier tables, as do Fletcher et al. (1962) and Lebedev and Fedorova (1960). …
3: 26.21 Tables
§26.21 Tables►Abramowitz and Stegun (1964, Chapter 24) tabulates binomial coefficients for up to 50 and up to 25; extends Table 26.4.1 to ; tabulates Stirling numbers of the first and second kinds, and , for up to 25 and up to ; tabulates partitions and partitions into distinct parts for up to 500. ►Andrews (1976) contains tables of the number of unrestricted partitions, partitions into odd parts, partitions into parts , partitions into parts , and unrestricted plane partitions up to 100. It also contains a table of Gaussian polynomials up to . ►Goldberg et al. (1976) contains tables of binomial coefficients to and Stirling numbers to .
4: 34.14 Tables
§34.14 Tables►Tables of exact values of the squares of the and symbols in which all parameters are are given in Rotenberg et al. (1959), together with a bibliography of earlier tables of , and symbols on pp. … ►Biedenharn and Louck (1981) give tables of algebraic expressions for Clebsch–Gordan coefficients and symbols, together with a bibliography of tables produced prior to 1975. … 270–289; similar tables for the symbols are given on pp. …Earlier tables are listed on p. …
5: 25.19 Tables
Fletcher et al. (1962, §22.1) lists many sources for earlier tables of for both real and complex . §22.133 gives sources for numerical values of coefficients in the Riemann–Siegel formula, §22.15 describes tables of values of , and §22.17 lists tables for some Dirichlet -functions for real characters. For tables of dilogarithms, polylogarithms, and Clausen’s integral see §§22.84–22.858.
6: 18.41 Tables
§18.41 Tables… ►For () see §14.33. … ►See also Abramowitz and Stegun (1964, Tables 25.4, 25.9, and 25.10). ►
§18.41(iii) Other Tables►For tables prior to 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).
7: 27.21 Tables
§27.21 Tables… ►Table 24. 7 of Abramowitz and Stegun (1964) also lists the factorizations in Glaisher’s Table I(a); Table 24. … ►Lehmer (1941) gives a comprehensive account of tables in the theory of numbers, including virtually every table published from 1918 to 1941. … ►No sequel to Lehmer (1941) exists to date, but many tables of functions of number theory are included in Unpublished Mathematical Tables (1944). …
8: 35.11 Tables
§35.11 Tables►Tables of zonal polynomials are given in James (1964) for , Parkhurst and James (1974) for , and Muirhead (1982, p. 238) for . Each table expresses the zonal polynomials as linear combinations of monomial symmetric functions.
9: 29.21 Tables
Ince (1940a) tabulates the eigenvalues , (with and interchanged) for , , and . Precision is 4D.
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.