Inverse hyperbolic sine element-wise.
Parameters:x : array_like
Input array.
out : ndarray, optional
Returns:Array into which the output is placed. Its type is preserved and it must be of the right shape to hold the output. See doc.ufuncs.
out : ndarray
Array of of the same shape as x.
Notes
arcsinh is a multivalued function: for each x there are infinitely many numbers z such that sinh(z) = x. The convention is to return the z whose imaginary part lies in [-pi/2, pi/2].
For real-valued input data types, arcsinh always returns real output. For each value that cannot be expressed as a real number or infinity, it returns nan and sets the invalid floating point error flag.
For complex-valued input, arccos is a complex analytical function that has branch cuts [1j, infj] and [-1j, -infj] and is continuous from the right on the former and from the left on the latter.
The inverse hyperbolic sine is also known as asinh or sinh^-1.
References
Examples
>>> np.arcsinh(np.array([np.e, 10.0])) array([ 1.72538256, 2.99822295])
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