FreeMat
ASINH Inverse Hyperbolic Sine Function

Section: Mathematical Functions

Usage

Computes the inverse hyperbolic sine of its argument. The general syntax for its use is

  y = asinh(x)

where x is an n-dimensional array of numerical type.

Internals

The asinh function is computed from the formula

\[ \sinh^{-1}(x) = \log\left(x + (x^2 + 1)^0.5\right) \]

where the log (and square root) is taken in its most general sense.

Examples

Here is a simple plot of the inverse hyperbolic sine function

--> x = -5:.01:5;
--> plot(x,asinh(x)); grid('on');
asinhplot.png