numpy.i0¶

numpy.i0(x)¶

Modified Bessel function of the first kind, order 0.

Usually denoted $I_0$ .

Parameters:

x : array_like, dtype float or complex

Argument of the Bessel function.

Returns:

out : ndarray, shape z.shape, dtype z.dtype

The modified Bessel function evaluated at the elements of x.

See also

scipy.special.iv, scipy.special.ive

References

[38]	M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, 10th printing, 1964, pp. 374. http://www.math.sfu.ca/~cbm/aands/

[39]	Wikipedia, “Bessel function”, http://en.wikipedia.org/wiki/Bessel_function

Examples

>>> np.i0([0.])
array(1.0)
>>> np.i0([0., 1. + 2j])
array([ 1.00000000+0.j        ,  0.18785373+0.64616944j])