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11: 4.41 Sums
For sums of hyperbolic functions see Gradshteyn and Ryzhik (2000, Chapter 1), Hansen (1975, §43), Prudnikov et al. (1986a, §5.3), and Zucker (1979).
12: 4.44 Other Applications
See Abramowitz and Stegun (1964, pp. 999–1000) and Ashcroft and Mermin (1976, Chapter 23). For applications of generalized exponentials and generalized logarithms to computer arithmetic see §3.1(iv). For an application of the Lambert W -function to generalized Gaussian noise see Chapeau-Blondeau and Monir (2002). For other applications of the Lambert W -function see Corless et al. (1996).
13: 4.46 Tables
For 40D values of the first 500 roots of tan x = x , see Robinson (1972). (These roots are zeros of the Bessel function J 3 / 2 ( x ) ; see §10.21.) For 10S values of the first five complex roots of sin z = a z , cos z = a z , and cosh z = a z , for selected positive values of a , see Fettis (1976). See also Luther (1995).
14: 5.21 Methods of Computation
See Schmelzer and Trefethen (2007). For a comprehensive survey see van der Laan and Temme (1984, Chapter III). See also Borwein and Zucker (1992). For the computation of the q -gamma and q -beta functions see Gabutti and Allasia (2008).
15: 7.15 Sums
For sums involving the error function see Hansen (1975, p. 423) and Prudnikov et al. (1986b, vol. 2, pp. 650–651).
16: 8.16 Generalizations
For a generalization of the incomplete gamma function, including asymptotic approximations, see Chaudhry and Zubair (1994, 2001) and Chaudhry et al. (1996). …
17: 17.15 Generalizations
For higher-dimensional basic hypergometric functions, see Milne (1985a, b, c, d, 1988, 1994, 1997) and Gustafson (1987).
18: 23.13 Zeros
For information on the zeros of ( z ) see Eichler and Zagier (1982).
19: 25.7 Integrals
For definite integrals of the Riemann zeta function see Prudnikov et al. (1986b, §2.4), Prudnikov et al. (1992a, §3.2), and Prudnikov et al. (1992b, §3.2).
20: 34.11 Higher-Order 3 n j Symbols
For information on 12 j , 15 j ,…, symbols, see Varshalovich et al. (1988, §10.12) and Yutsis et al. (1962, pp. 62–65 and 122–153).