Symbols:A/Area Hyperbolic Cotangent/actnh
Jump to navigation
Jump to search
Area Hyperbolic Cotangent
- $\operatorname {actnh}$
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.
A variant symbol used to denote the area hyperbolic cotangent function is $\operatorname {actnh}$.
The $\LaTeX$ code for \(\operatorname {actnh}\) is \operatorname {actnh}
.
Also denoted as
arcoth
- $\arcoth$
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
.
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}
.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): actnh