inverse trigonometric functions
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11: 4.24 Inverse Trigonometric Functions: Further Properties
§4.24 Inverse Trigonometric Functions: Further Properties
►§4.24(i) Power Series
… ►§4.24(ii) Derivatives
… ►§4.24(iii) Addition Formulas
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4.24.17
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12: 4.45 Methods of Computation
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Inverse Trigonometric Functions
►The function can always be computed from its ascending power series after preliminary transformations to reduce the size of . … ►
4.45.10
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4.45.13
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►For the remaining inverse trigonometric functions, we may use the identities provided by the fourth row of Table 4.16.3.
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13: 4.25 Continued Fractions
§4.25 Continued Fractions
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4.25.3
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4.25.4
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4.25.5
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►See Lorentzen and Waadeland (1992, pp. 560–571) for other continued fractions involving inverse trigonometric functions.
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14: 4.26 Integrals
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4.26.5
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§4.26(iv) Inverse Trigonometric Functions
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4.26.14
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4.26.15
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►Extensive compendia of indefinite and definite integrals of trigonometric and inverse trigonometric functions include Apelblat (1983, pp. 48–109), Bierens de Haan (1939), Gradshteyn and Ryzhik (2000, Chapters 2–4), Gröbner and Hofreiter (1949, pp. 116–139), Gröbner and Hofreiter (1950, pp. 94–160), and Prudnikov et al. (1986a, §§1.5, 1.7, 2.5, 2.7).
15: 4.40 Integrals
16: 4.38 Inverse Hyperbolic Functions: Further Properties
17: 28.26 Asymptotic Approximations for Large
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28.26.3
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18: 9.8 Modulus and Phase
19: 19.2 Definitions
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19.2.11_5
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►In (19.2.18)–(19.2.22) the inverse trigonometric and hyperbolic functions assume their principal values (§§4.23(ii) and 4.37(ii)).
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19.2.18
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19.2.19
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19.2.20
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