Symbols:A/Area Hyperbolic Tangent/atanh

Area Hyperbolic Tangent

$\operatorname {atanh}$

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.

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

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

Also denoted as

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 .

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): atanh