Definition:Inverse Hyperbolic Cotangent/Complex/Arccotangent

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Definition

The principal branch of the complex inverse hyperbolic cotangent function is defined as:

$\forall z \in \C: \map {\Coth^{-1} } z := \dfrac 1 2 \, \map \Ln {\dfrac {z + 1} {z - 1} }$

where $\Ln$ denotes the principal branch of the complex natural logarithm.


Also see


Sources