Inverse Hyperbolic Cotangent

$\begin{figure}\begin{center}\BoxedEPSF{ArcCoth.epsf}\end{center}\end{figure}$

$\begin{figure}\begin{center}\BoxedEPSF{ArcCothReIm.epsf scaled 700}\end{center}\end{figure}$

The Inverse Function of the Hyperbolic Cotangent, denoted $\coth^{-1}x$ .