scipy.special.k1 — SciPy v1.15.2 Manual (original) (raw)
scipy.special.k1(x, out=None) = <ufunc 'k1'>#
Modified Bessel function of the second kind of order 1, \(K_1(x)\).
Parameters:
xarray_like
Argument (float)
outndarray, optional
Optional output array for the function values
Returns:
Kscalar or ndarray
Value of the modified Bessel function K of order 1 at x.
See also
Modified Bessel function of the second kind of any order
Exponentially scaled modified Bessel function K of order 1
Notes
The range is partitioned into the two intervals [0, 2] and (2, infinity). Chebyshev polynomial expansions are employed in each interval.
This function is a wrapper for the Cephes [1] routine k1.
References
Examples
Calculate the function at one point:
from scipy.special import k1 k1(1.) 0.6019072301972346
Calculate the function at several points:
import numpy as np k1(np.array([0.5, 2., 3.])) array([1.65644112, 0.13986588, 0.04015643])
Plot the function from 0 to 10.
import matplotlib.pyplot as plt fig, ax = plt.subplots() x = np.linspace(0., 10., 1000) y = k1(x) ax.plot(x, y) plt.show()
