Symbols:A/Area Hyperbolic Cotangent/arcoth

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Area Hyperbolic Cotangent

$\arcoth$


The inverse hyperbolic cotangent $\arcoth: S \to \R$ is a real function defined on $S$ as:

$\forall x \in S: \arcoth x := \dfrac 1 2 \map \ln {\dfrac {x + 1} {x - 1} }$

where $\ln$ denotes the natural logarithm of a (strictly positive) real number.


The usual symbol used on $\mathsf{Pr} \infty \mathsf{fWiki}$ to denote the area hyperbolic cotangent function is $\arcoth$.


The $\LaTeX$ code for \(\arcoth\) is \arcoth .


Also denoted as

acoth

$\operatorname {acoth}$

A variant symbol used to denote the area hyperbolic cotangent function is $\operatorname {acoth}$.


The $\LaTeX$ code for \(\operatorname {acoth}\) is \operatorname {acoth} .


actnh

$\operatorname {actnh}$

A variant symbol used to denote the area hyperbolic cotangent function is $\operatorname {actnh}$.


The $\LaTeX$ code for \(\operatorname {actnh}\) is \operatorname {actnh} .