Function: asinh Section: transcendental C-Name: gasinh Prototype: Gp Help: asinh(x): inverse hyperbolic sine of x. Doc: principal branch of $\text{sinh}^{-1}(x) = \log(x + \sqrt{1+x^2})$. In particular $\text{Im(asinh}(x))\in [-\pi/2,\pi/2]$. The branch cut is in two pieces: [-i oo ,-i], continuous with quadrant III and [i,+i oo [ continuous with quadrant I.