DLMF:

4 Elementary Functions Hyperbolic Functions 4.29 Graphics 4.29 Graphics 4.30 Elementary Properties

Figure 4.29.4 (See in context.)

Figure 4.29.4: Principal values of $\mathop{\mathrm{arctanh}\/}\nolimits x$ and $\mathop{\mathrm{arccoth}\/}\nolimits x$ . ( $\mathop{\mathrm{arctanh}\/}\nolimits x$ is complex when

, and $\mathop{\mathrm{arccoth}\/}\nolimits x$ is complex when

Annotations:

Symbols:: $\mathop{\mathrm{arccoth}\/}\nolimits z$ : inverse hyperbolic cotangent function, $\mathop{\mathrm{arctanh}\/}\nolimits z$ : inverse hyperbolic tangent function and : real variable
A&S Ref:: AMS55 (Figure 4.8)
Permalink:: http://dlmf.nist.gov/4.29.F4.mag
Encodings:: Magnified png, pdf

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