numpy.arcsinh¶

numpy.
arcsinh
(x[, out]) = <ufunc 'arcsinh'>¶ Inverse hyperbolic sine elementwise.
Parameters: x : array_like
Input array.
out : ndarray, optional
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
.Returns: 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 realvalued input data types,
arcsinh
always returns real output. For each value that cannot be expressed as a real number or infinity, it returnsnan
and sets the invalid floating point error flag.For complexvalued 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
[R4] M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, 10th printing, 1964, pp. 86. http://www.math.sfu.ca/~cbm/aands/ [R5] Wikipedia, “Inverse hyperbolic function”, http://en.wikipedia.org/wiki/Arcsinh Examples
>>> np.arcsinh(np.array([np.e, 10.0])) array([ 1.72538256, 2.99822295])