Inverse hyperbolic sine: Representations through equivalent functions (subsection 27/02/10/15)

ArcSinh

$Mathematica Notation$

Involving sinh^-1((1-(1-z²)^1/2)^1/2/(2^1/2 (1-z²)^1/4))

Involving sinh^-1((1-(1-z²)^1/2)^1/2/(2^1/2 (1-z²)^1/4)) and coth^-1(z)

Involving sinh^-1((1-(1-z²)^1/2)^1/2/(2^1/2 (1-z²)^1/4)) and coth^-1(1/z)