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⇑ 4 Elementary Functions
⇑ Hyperbolic Functions
⇑ 4.37 Inverse Hyperbolic Functions

Figure 4.37.1 (See in context.)

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(i) \mathop{\mathrm{arcsinh}\/}\nolimits z (ii) \mathop{\mathrm{arccosh}\/}\nolimits z (iii) \mathop{\mathrm{arctanh}\/}\nolimits z
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(iv) \mathop{\mathrm{arccsch}\/}\nolimits z (v) \mathop{\mathrm{arcsech}\/}\nolimits z (vi) \mathop{\mathrm{arccoth}\/}\nolimits z
Figure 4.37.1: z-plane. Branch cuts for the inverse hyperbolic functions.
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Annotations:
Symbols:
\mathop{\mathrm{arccsch}\/}\nolimits z: inverse hyperbolic cosecant function, \mathop{\mathrm{arccosh}\/}\nolimits z: inverse hyperbolic cosine function, \mathop{\mathrm{arccoth}\/}\nolimits z: inverse hyperbolic cotangent function, \mathop{\mathrm{arcsech}\/}\nolimits z: inverse hyperbolic secant function, \mathop{\mathrm{arcsinh}\/}\nolimits z: inverse hyperbolic sine function, \mathop{\mathrm{arctanh}\/}\nolimits z: inverse hyperbolic tangent function and z: complex variable
Keywords:
inverse hyperbolic functions
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