gives the inverse hyperbolic tangent of the complex number .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For certain special arguments, ArcTanh automatically evaluates to exact values.
  • ArcTanh can be evaluated to arbitrary numerical precision.
  • ArcTanh automatically threads over lists.
  • ArcTanh[z] has branch cut discontinuities in the complex plane running from to and to .
Introduced in 1988