This is documentation for an old release of SciPy (version 0.18.1). Read this page in the documentation of the latest stable release (version 1.15.1).
scipy.special.spherical_kn¶
- scipy.special.spherical_kn(n, z, derivative=False)[source]¶
Modified spherical Bessel function of the second kind or its derivative.
Defined as [R467],
kn(z)=√π2zKn+1/2(z),where Kn is the modified Bessel function of the second kind.
Parameters: n : int, array_like
Order of the Bessel function (n >= 0).
z : complex or float, array_like
Argument of the Bessel function.
derivative : bool, optional
If True, the value of the derivative (rather than the function itself) is returned.
Returns: kn : ndarray
Notes
The function is computed using its definitional relation to the modified cylindrical Bessel function of the second kind.
The derivative is computed using the relations [R468],
k′n=−kn−1−n+12kn.k′0=−k1New in version 0.18.0.
References
[R467] (1, 2) http://dlmf.nist.gov/10.47.E9 [R468] (1, 2) http://dlmf.nist.gov/10.51.E5