inverse hyperbolic functions
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1: 4.37 Inverse Hyperbolic Functions
§4.37 Inverse Hyperbolic Functions
►§4.37(i) General Definitions
… ►§4.37(ii) Principal Values
… ► … ►§4.37(iv) Logarithmic Forms
…2: 4.1 Special Notation
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►The main purpose of the present chapter is to extend these definitions and properties to complex arguments .
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►; the hyperbolic trigonometric (or just hyperbolic) functions
, , , , , ; the inverse hyperbolic functions
, , etc.
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integers. | |
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3: 4.29 Graphics
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§4.29(i) Real Arguments
… ► ►§4.29(ii) Complex Arguments
… ►The surfaces for the complex hyperbolic and inverse hyperbolic functions are similar to the surfaces depicted in §4.15(iii) for the trigonometric and inverse trigonometric functions. …4: 4.46 Tables
§4.46 Tables
…5: 4.47 Approximations
6: 19.10 Relations to Other Functions
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19.10.2
7: 4.39 Continued Fractions
§4.39 Continued Fractions
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4.39.2
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4.39.3
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►For these and other continued fractions involving inverse hyperbolic functions see Lorentzen and Waadeland (1992, pp. 569–571).
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8: 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
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4.38.19
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