About the Project
NIST

table of

AdvancedHelp

(0.001 seconds)

11—20 of 169 matching pages

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 Si ( x ) , Ci ( x ) , x = 0 ( .5 ) 20 ( 2 ) 30 , 8D; Ei ( x ) , E 1 ( x ) , 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 ( x ) , x = 1 ( .1 ) 3 ( .5 ) 8 , 4D; also G ( x ) + ln x , x = 0 ( .05 ) 1 , 4D.

  • Zhang and Jin (1996, pp. 637, 639) includes ( 2 / π ) e - x 2 , erf x , x = 0 ( .02 ) 1 ( .04 ) 3 , 8D; C ( x ) , S ( x ) , 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: 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
    17: 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
    18: 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.
    19: 28.35 Tables
    §28.35 Tables
  • Blanch and Clemm (1969) includes eigenvalues a n ( q ) , b n ( q ) for q = ρ e i ϕ , ρ = 0 ( .5 ) 25 , ϕ = 5 ( 5 ) 90 , n = 0 ( 1 ) 15 ; 4D. Also a n ( q ) and b n ( q ) for q = i ρ , ρ = 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).
    20: 13.30 Tables
    §13.30 Tables
    For other tables prior to 1961 see Fletcher et al. (1962) and Lebedev and Fedorova (1960).