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11: 6.19 Tables

§6.19 Tables

… ►Lebedev and Fedorova (1960) and Fletcher et al. (1962) give comprehensive indexes of mathematical tables. This section lists relevant tables that appeared later. ►

§6.19(ii) Real Variables

… ►

•

Zhang and Jin (1996, pp. 652, 689) includes $\operatorname{Si}\left(x\right)$ , $\operatorname{Ci}\left(x\right)$ , $x=0(.5)20(2)30$ , 8D; $\operatorname{Ei}\left(x\right)$ , $E_{1}\left(x\right)$ , $x=[0,100]$ , 8S.

…

12: 23.23 Tables

§23.23 Tables

►Table 18. … ►Abramowitz and Stegun (1964) also includes other tables to assist the computation of the Weierstrass functions, for example, the generators as functions of the lattice invariants

g_{2}

and

g_{3}

. ►For earlier tables related to Weierstrass functions see Fletcher et al. (1962, pp. 503–505) and Lebedev and Fedorova (1960, pp. 223–226).

13: 33.24 Tables

§33.24 Tables

… ►For earlier tables see Hull and Breit (1959) and Fletcher et al. (1962, §22.59).

14: 7.23 Tables

§7.23 Tables

… ►Lebedev and Fedorova (1960) and Fletcher et al. (1962) give comprehensive indexes of mathematical tables. This section lists relevant tables that appeared later. … ►

•

Abramowitz and Stegun (1964, Table 27.6) includes the Goodwin–Staton integral $G\left(x\right)$ , $x=1(.1)3(.5)8$ , 4D; also $G\left(x\right)+\ln x$ , $x=0(.05)1$ , 4D.

… ►

•

Zhang and Jin (1996, pp. 637, 639) includes $(2/\sqrt{\pi})e^{-x^{2}}$ , $\operatorname{erf}x$ , $x=0(.02)1(.04)3$ , 8D; $C\left(x\right)$ , $S\left(x\right)$ , $x=0(.2)10(2)100(100)500$ , 8D.

…

15: 22.21 Tables

§22.21 Tables

… ► … ►For other tables prior to 1961 see Fletcher et al. (1962, pp. 500–503) and Lebedev and Fedorova (1960, pp. 221–223). ►Tables of theta functions (§20.15) can also be used to compute the twelve Jacobian elliptic functions by application of the quotient formulas given in §22.2.

16: How to Cite

… ►produces pdf with the equation and table numbers linking directly into the DLMF website: For the gamma function at positive integers, see [DLMF, (5.4.1)]; for its extrema see [DLMF, Table 5.4.1]. … ►The following table outlines the correspondence between reference numbers as they appear in the Handbook, and the URL’s that find the same item online. Note the ‘E’, ‘F’ and ‘T’ used to disambiguate equations, figures and tables. ► ►►►

Item Type	Ref. Number	Permalink
…
Tables	5.4.1	https://dlmf.nist.gov/5.4.T1

…

17: 5.22 Tables

§5.22 Tables

… ►For early tables for both real and complex variables see Fletcher et al. (1962), Lebedev and Fedorova (1960), and Luke (1975, p. 21). ►

§5.22(ii) Real Variables

… ►

§5.22(iii) Complex Variables

…

18: 8.26 Tables

§8.26 Tables

… ►For tables published before 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960). ►

§8.26(ii) Incomplete Gamma Functions

… ►

§8.26(iii) Incomplete Beta Functions

… ►

§8.26(iv) Generalized Exponential Integral

…

19: 30.17 Tables

§30.17 Tables

… ►

•

Flammer (1957) includes 18 tables of eigenvalues, expansion coefficients, spheroidal wave functions, and other related quantities. Precision varies between 4S and 10S.

… ►

•

Zhang and Jin (1996) includes 24 tables of eigenvalues, spheroidal wave functions and their derivatives. Precision varies between 6S and 8S.

►Fletcher et al. (1962, §22.28) provides additional information on tables prior to 1961.

20: 28.35 Tables

§28.35 Tables

… ►

•

Blanch and Clemm (1969) includes eigenvalues $a_{n}\left(q\right)$ , $b_{n}\left(q\right)$ for $q=\rho e^{\mathrm{i}\phi}$ , $\rho=0(.5)25$ , $\phi=5^{\circ}(5^{\circ})90^{\circ}$ , $n=0(1)15$ ; 4D. Also $a_{n}\left(q\right)$ and $b_{n}\left(q\right)$ for $q=\mathrm{i}\rho$ , $\rho=0(.5)100$ , $n=0(2)14$ and $n=2(2)16$ , respectively; 8D. Double points for $n=0(1)15$ ; 8D. Graphs are included.

►

§28.35(iii) Zeros

… ►

§28.35(iv) Further Tables

►For other tables prior to 1961 see Fletcher et al. (1962, §2.2) and Lebedev and Fedorova (1960, Chapter 11).