Symbols:A/Area Hyperbolic Tangent

Area Hyperbolic Tangent

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

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

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

artanh

$\artanh$

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

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

atanh

$\operatorname {atanh}$

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

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

arctanh

$\operatorname {arctanh}$

A questionable symbol used to denote the area hyperbolic tangent function is $\operatorname {arctanh}$.

Its $\LaTeX$ code is \operatorname {arctanh} .

arc tanh

$\operatorname {arc tanh}$

A questionable and clumsy symbol used to denote the area hyperbolic sine function is $\operatorname {arc tanh}$.

Its $\LaTeX$ code is \operatorname {arc tanh} .