`asinh`

Inverse hyperbolic sine of each element.

Category: Mathematics > Elementary Math

Syntax

Y = asinh(X)

Returns the inverse hyperbolic sine of each element of X.

Description

asinh(X) satisfies asinh(x) = log(x + sqrt(x^2 + 1)). It is defined and real for every real input, is odd, and grows like a logarithm for large abs(X). sinh(asinh(X)) returns X.

Input arguments

X: Numeric array of any size. Complex values are allowed.

Output arguments

Y: Array of the same size as X.

Example

Inverse hyperbolic sine

asinh([0 1 -1 10])

Output

ans = 1×4

         0    0.8814   -0.8814    2.9982

See also

sinh asin acosh atanh