hyperbolic
(0.001 seconds)
11—20 of 143 matching pages
11: 4.40 Integrals
§4.40 Integrals
… ►§4.40(ii) Indefinite Integrals
… ►§4.40(iii) Definite Integrals
… ►§4.40(iv) Inverse Hyperbolic Functions
… ►Extensive compendia of indefinite and definite integrals of hyperbolic functions include Apelblat (1983, pp. 96–109), Bierens de Haan (1939), Gröbner and Hofreiter (1949, pp. 139–160), Gröbner and Hofreiter (1950, pp. 160–167), Gradshteyn and Ryzhik (2000, Chapters 2–4), and Prudnikov et al. (1986a, §§1.4, 1.8, 2.4, 2.8).12: 4.36 Infinite Products and Partial Fractions
13: 4.33 Maclaurin Series and Laurent Series
14: 4.47 Approximations
§4.47 Approximations
►§4.47(i) Chebyshev-Series Expansions
►Clenshaw (1962) and Luke (1975, Chapter 3) give 20D coefficients for , , , , , , , , . … ►Hart et al. (1968) give , , , , , , , , , , , , , . … ►Luke (1975, Chapter 3) supplies real and complex approximations for , , , , , , . …15: 36.3 Visualizations of Canonical Integrals
16: 4.30 Elementary Properties
17: 4.39 Continued Fractions
§4.39 Continued Fractions
►
4.39.1
.
►
4.39.2
…
►
4.39.3
…
►For these and other continued fractions involving inverse hyperbolic functions see Lorentzen and Waadeland (1992, pp. 569–571).
…
18: 22.10 Maclaurin Series
19: 4.38 Inverse Hyperbolic Functions: Further Properties
§4.38 Inverse Hyperbolic Functions: Further Properties
►§4.38(i) Power Series
… ►§4.38(ii) Derivatives
… ►§4.38(iii) Addition Formulas
… ►
4.38.19
…